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Simplifying 4(x + -3) + -20 = 5(x + -5) Reorder the terms: 4(-3 + x) + -20 = 5(x + -5) (-3 * 4 + x * 4) + -20 = 5(x + -5) (-12 + 4x) + -20 = 5(x + -5) Reorder the terms: -12 + -20 + 4x = 5(x + -5) Combine like terms: -12 + -20 = -32 -32 + 4x = 5(x + -5) Reorder the terms: -32 + 4x = 5(-5 + x) -32 + 4x = (-5 * 5 + x * 5) -32 + 4x = (-25 + 5x) Solving -32 + 4x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 4x + -5x = -25 + 5x + -5x Combine like terms: 4x + -5x = -1x -32 + -1x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -1x = -25 + 0 -32 + -1x = -25 Add '32' to each side of the equation. -32 + 32 + -1x = -25 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -25 + 32 -1x = -25 + 32 Combine like terms: -25 + 32 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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