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Simplifying (4)(x + -8) = (3)(x + -5) Reorder the terms: 4(-8 + x) = (3)(x + -5) (-8 * 4 + x * 4) = (3)(x + -5) (-32 + 4x) = (3)(x + -5) Reorder the terms: -32 + 4x = 3(-5 + x) -32 + 4x = (-5 * 3 + x * 3) -32 + 4x = (-15 + 3x) Solving -32 + 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. -32 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -32 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 1x = -15 + 0 -32 + 1x = -15 Add '32' to each side of the equation. -32 + 32 + 1x = -15 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -15 + 32 1x = -15 + 32 Combine like terms: -15 + 32 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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