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Simplifying 4(x + -1) = 5 + 3(x + -5) Reorder the terms: 4(-1 + x) = 5 + 3(x + -5) (-1 * 4 + x * 4) = 5 + 3(x + -5) (-4 + 4x) = 5 + 3(x + -5) Reorder the terms: -4 + 4x = 5 + 3(-5 + x) -4 + 4x = 5 + (-5 * 3 + x * 3) -4 + 4x = 5 + (-15 + 3x) Combine like terms: 5 + -15 = -10 -4 + 4x = -10 + 3x Solving -4 + 4x = -10 + 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 = -10 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = -10 + 0 -4 + 1x = -10 Add '4' to each side of the equation. -4 + 4 + 1x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -10 + 4 1x = -10 + 4 Combine like terms: -10 + 4 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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