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Simplifying 3(x + 1) + 2x = -2x + -4(2x + 3) Reorder the terms: 3(1 + x) + 2x = -2x + -4(2x + 3) (1 * 3 + x * 3) + 2x = -2x + -4(2x + 3) (3 + 3x) + 2x = -2x + -4(2x + 3) Combine like terms: 3x + 2x = 5x 3 + 5x = -2x + -4(2x + 3) Reorder the terms: 3 + 5x = -2x + -4(3 + 2x) 3 + 5x = -2x + (3 * -4 + 2x * -4) 3 + 5x = -2x + (-12 + -8x) Reorder the terms: 3 + 5x = -12 + -2x + -8x Combine like terms: -2x + -8x = -10x 3 + 5x = -12 + -10x Solving 3 + 5x = -12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + 5x + 10x = -12 + -10x + 10x Combine like terms: 5x + 10x = 15x 3 + 15x = -12 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 15x = -12 + 0 3 + 15x = -12 Add '-3' to each side of the equation. 3 + -3 + 15x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = -12 + -3 15x = -12 + -3 Combine like terms: -12 + -3 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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