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Simplifying -3x + 4(1 + x) = -5(x + 5) + 5 -3x + (1 * 4 + x * 4) = -5(x + 5) + 5 -3x + (4 + 4x) = -5(x + 5) + 5 Reorder the terms: 4 + -3x + 4x = -5(x + 5) + 5 Combine like terms: -3x + 4x = 1x 4 + 1x = -5(x + 5) + 5 Reorder the terms: 4 + 1x = -5(5 + x) + 5 4 + 1x = (5 * -5 + x * -5) + 5 4 + 1x = (-25 + -5x) + 5 Reorder the terms: 4 + 1x = -25 + 5 + -5x Combine like terms: -25 + 5 = -20 4 + 1x = -20 + -5x Solving 4 + 1x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 1x + 5x = -20 + -5x + 5x Combine like terms: 1x + 5x = 6x 4 + 6x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 6x = -20 + 0 4 + 6x = -20 Add '-4' to each side of the equation. 4 + -4 + 6x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -20 + -4 6x = -20 + -4 Combine like terms: -20 + -4 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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