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Simplifying 3(x + 2) + -4(x + -3) = 2x + -6 Reorder the terms: 3(2 + x) + -4(x + -3) = 2x + -6 (2 * 3 + x * 3) + -4(x + -3) = 2x + -6 (6 + 3x) + -4(x + -3) = 2x + -6 Reorder the terms: 6 + 3x + -4(-3 + x) = 2x + -6 6 + 3x + (-3 * -4 + x * -4) = 2x + -6 6 + 3x + (12 + -4x) = 2x + -6 Reorder the terms: 6 + 12 + 3x + -4x = 2x + -6 Combine like terms: 6 + 12 = 18 18 + 3x + -4x = 2x + -6 Combine like terms: 3x + -4x = -1x 18 + -1x = 2x + -6 Reorder the terms: 18 + -1x = -6 + 2x Solving 18 + -1x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x 18 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -3x = -6 + 0 18 + -3x = -6 Add '-18' to each side of the equation. 18 + -18 + -3x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = -6 + -18 -3x = -6 + -18 Combine like terms: -6 + -18 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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