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Simplifying 4(1x + -1) = 3(1x + -5) Reorder the terms: 4(-1 + 1x) = 3(1x + -5) (-1 * 4 + 1x * 4) = 3(1x + -5) (-4 + 4x) = 3(1x + -5) Reorder the terms: -4 + 4x = 3(-5 + 1x) -4 + 4x = (-5 * 3 + 1x * 3) -4 + 4x = (-15 + 3x) Solving -4 + 4x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = -15 + 0 -4 + 1x = -15 Add '4' to each side of the equation. -4 + 4 + 1x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -15 + 4 1x = -15 + 4 Combine like terms: -15 + 4 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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