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Simplifying 4x + -2 + 3(2x + 2) = -5(x + 1) Reorder the terms: 4x + -2 + 3(2 + 2x) = -5(x + 1) 4x + -2 + (2 * 3 + 2x * 3) = -5(x + 1) 4x + -2 + (6 + 6x) = -5(x + 1) Reorder the terms: -2 + 6 + 4x + 6x = -5(x + 1) Combine like terms: -2 + 6 = 4 4 + 4x + 6x = -5(x + 1) Combine like terms: 4x + 6x = 10x 4 + 10x = -5(x + 1) Reorder the terms: 4 + 10x = -5(1 + x) 4 + 10x = (1 * -5 + x * -5) 4 + 10x = (-5 + -5x) Solving 4 + 10x = -5 + -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 + 10x + 5x = -5 + -5x + 5x Combine like terms: 10x + 5x = 15x 4 + 15x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 15x = -5 + 0 4 + 15x = -5 Add '-4' to each side of the equation. 4 + -4 + 15x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = -5 + -4 15x = -5 + -4 Combine like terms: -5 + -4 = -9 15x = -9 Divide each side by '15'. x = -0.6 Simplifying x = -0.6
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