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Simplifying 3(x + -4) + -5(6 + -1x) = 2(4x + -21) Reorder the terms: 3(-4 + x) + -5(6 + -1x) = 2(4x + -21) (-4 * 3 + x * 3) + -5(6 + -1x) = 2(4x + -21) (-12 + 3x) + -5(6 + -1x) = 2(4x + -21) -12 + 3x + (6 * -5 + -1x * -5) = 2(4x + -21) -12 + 3x + (-30 + 5x) = 2(4x + -21) Reorder the terms: -12 + -30 + 3x + 5x = 2(4x + -21) Combine like terms: -12 + -30 = -42 -42 + 3x + 5x = 2(4x + -21) Combine like terms: 3x + 5x = 8x -42 + 8x = 2(4x + -21) Reorder the terms: -42 + 8x = 2(-21 + 4x) -42 + 8x = (-21 * 2 + 4x * 2) -42 + 8x = (-42 + 8x) Add '42' to each side of the equation. -42 + 42 + 8x = -42 + 42 + 8x Combine like terms: -42 + 42 = 0 0 + 8x = -42 + 42 + 8x 8x = -42 + 42 + 8x Combine like terms: -42 + 42 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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