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Simplifying 2(4x + -7) + 10 = 2(x + -5) + 2(3x + 3) Reorder the terms: 2(-7 + 4x) + 10 = 2(x + -5) + 2(3x + 3) (-7 * 2 + 4x * 2) + 10 = 2(x + -5) + 2(3x + 3) (-14 + 8x) + 10 = 2(x + -5) + 2(3x + 3) Reorder the terms: -14 + 10 + 8x = 2(x + -5) + 2(3x + 3) Combine like terms: -14 + 10 = -4 -4 + 8x = 2(x + -5) + 2(3x + 3) Reorder the terms: -4 + 8x = 2(-5 + x) + 2(3x + 3) -4 + 8x = (-5 * 2 + x * 2) + 2(3x + 3) -4 + 8x = (-10 + 2x) + 2(3x + 3) Reorder the terms: -4 + 8x = -10 + 2x + 2(3 + 3x) -4 + 8x = -10 + 2x + (3 * 2 + 3x * 2) -4 + 8x = -10 + 2x + (6 + 6x) Reorder the terms: -4 + 8x = -10 + 6 + 2x + 6x Combine like terms: -10 + 6 = -4 -4 + 8x = -4 + 2x + 6x Combine like terms: 2x + 6x = 8x -4 + 8x = -4 + 8x Add '4' to each side of the equation. -4 + 4 + 8x = -4 + 4 + 8x Combine like terms: -4 + 4 = 0 0 + 8x = -4 + 4 + 8x 8x = -4 + 4 + 8x Combine like terms: -4 + 4 = 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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