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Simplifying 4(x + -4) = 5(x + -3) Reorder the terms: 4(-4 + x) = 5(x + -3) (-4 * 4 + x * 4) = 5(x + -3) (-16 + 4x) = 5(x + -3) Reorder the terms: -16 + 4x = 5(-3 + x) -16 + 4x = (-3 * 5 + x * 5) -16 + 4x = (-15 + 5x) Solving -16 + 4x = -15 + 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. -16 + 4x + -5x = -15 + 5x + -5x Combine like terms: 4x + -5x = -1x -16 + -1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -1x = -15 + 0 -16 + -1x = -15 Add '16' to each side of the equation. -16 + 16 + -1x = -15 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -15 + 16 -1x = -15 + 16 Combine like terms: -15 + 16 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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