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Simplifying 8(2x + 5) + -3(4x + 7) = 2(9x + -11) + -4(4x + -9) + 2x + 5 Reorder the terms: 8(5 + 2x) + -3(4x + 7) = 2(9x + -11) + -4(4x + -9) + 2x + 5 (5 * 8 + 2x * 8) + -3(4x + 7) = 2(9x + -11) + -4(4x + -9) + 2x + 5 (40 + 16x) + -3(4x + 7) = 2(9x + -11) + -4(4x + -9) + 2x + 5 Reorder the terms: 40 + 16x + -3(7 + 4x) = 2(9x + -11) + -4(4x + -9) + 2x + 5 40 + 16x + (7 * -3 + 4x * -3) = 2(9x + -11) + -4(4x + -9) + 2x + 5 40 + 16x + (-21 + -12x) = 2(9x + -11) + -4(4x + -9) + 2x + 5 Reorder the terms: 40 + -21 + 16x + -12x = 2(9x + -11) + -4(4x + -9) + 2x + 5 Combine like terms: 40 + -21 = 19 19 + 16x + -12x = 2(9x + -11) + -4(4x + -9) + 2x + 5 Combine like terms: 16x + -12x = 4x 19 + 4x = 2(9x + -11) + -4(4x + -9) + 2x + 5 Reorder the terms: 19 + 4x = 2(-11 + 9x) + -4(4x + -9) + 2x + 5 19 + 4x = (-11 * 2 + 9x * 2) + -4(4x + -9) + 2x + 5 19 + 4x = (-22 + 18x) + -4(4x + -9) + 2x + 5 Reorder the terms: 19 + 4x = -22 + 18x + -4(-9 + 4x) + 2x + 5 19 + 4x = -22 + 18x + (-9 * -4 + 4x * -4) + 2x + 5 19 + 4x = -22 + 18x + (36 + -16x) + 2x + 5 Reorder the terms: 19 + 4x = -22 + 36 + 5 + 18x + -16x + 2x Combine like terms: -22 + 36 = 14 19 + 4x = 14 + 5 + 18x + -16x + 2x Combine like terms: 14 + 5 = 19 19 + 4x = 19 + 18x + -16x + 2x Combine like terms: 18x + -16x = 2x 19 + 4x = 19 + 2x + 2x Combine like terms: 2x + 2x = 4x 19 + 4x = 19 + 4x Add '-19' to each side of the equation. 19 + -19 + 4x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 0 + 4x = 19 + -19 + 4x 4x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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