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Simplifying -5x + -8(x + 1) = -3(4x + 5) Reorder the terms: -5x + -8(1 + x) = -3(4x + 5) -5x + (1 * -8 + x * -8) = -3(4x + 5) -5x + (-8 + -8x) = -3(4x + 5) Reorder the terms: -8 + -5x + -8x = -3(4x + 5) Combine like terms: -5x + -8x = -13x -8 + -13x = -3(4x + 5) Reorder the terms: -8 + -13x = -3(5 + 4x) -8 + -13x = (5 * -3 + 4x * -3) -8 + -13x = (-15 + -12x) Solving -8 + -13x = -15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + -13x + 12x = -15 + -12x + 12x Combine like terms: -13x + 12x = -1x -8 + -1x = -15 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + -1x = -15 + 0 -8 + -1x = -15 Add '8' to each side of the equation. -8 + 8 + -1x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -15 + 8 -1x = -15 + 8 Combine like terms: -15 + 8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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