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Simplifying 4(4 + x) = 3(x + -5) (4 * 4 + x * 4) = 3(x + -5) (16 + 4x) = 3(x + -5) Reorder the terms: 16 + 4x = 3(-5 + x) 16 + 4x = (-5 * 3 + x * 3) 16 + 4x = (-15 + 3x) Solving 16 + 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. 16 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x 16 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 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 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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