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