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Simplifying 2(3x + -4) + -5(x + 1) = 2(x + -7) + 3 Reorder the terms: 2(-4 + 3x) + -5(x + 1) = 2(x + -7) + 3 (-4 * 2 + 3x * 2) + -5(x + 1) = 2(x + -7) + 3 (-8 + 6x) + -5(x + 1) = 2(x + -7) + 3 Reorder the terms: -8 + 6x + -5(1 + x) = 2(x + -7) + 3 -8 + 6x + (1 * -5 + x * -5) = 2(x + -7) + 3 -8 + 6x + (-5 + -5x) = 2(x + -7) + 3 Reorder the terms: -8 + -5 + 6x + -5x = 2(x + -7) + 3 Combine like terms: -8 + -5 = -13 -13 + 6x + -5x = 2(x + -7) + 3 Combine like terms: 6x + -5x = 1x -13 + 1x = 2(x + -7) + 3 Reorder the terms: -13 + 1x = 2(-7 + x) + 3 -13 + 1x = (-7 * 2 + x * 2) + 3 -13 + 1x = (-14 + 2x) + 3 Reorder the terms: -13 + 1x = -14 + 3 + 2x Combine like terms: -14 + 3 = -11 -13 + 1x = -11 + 2x Solving -13 + 1x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 1x + -2x = -11 + 2x + -2x Combine like terms: 1x + -2x = -1x -13 + -1x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -1x = -11 + 0 -13 + -1x = -11 Add '13' to each side of the equation. -13 + 13 + -1x = -11 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -11 + 13 -1x = -11 + 13 Combine like terms: -11 + 13 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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