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