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Simplifying 2(x + 9) + -3(x + 4) = -10 Reorder the terms: 2(9 + x) + -3(x + 4) = -10 (9 * 2 + x * 2) + -3(x + 4) = -10 (18 + 2x) + -3(x + 4) = -10 Reorder the terms: 18 + 2x + -3(4 + x) = -10 18 + 2x + (4 * -3 + x * -3) = -10 18 + 2x + (-12 + -3x) = -10 Reorder the terms: 18 + -12 + 2x + -3x = -10 Combine like terms: 18 + -12 = 6 6 + 2x + -3x = -10 Combine like terms: 2x + -3x = -1x 6 + -1x = -10 Solving 6 + -1x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -10 + -6 -1x = -10 + -6 Combine like terms: -10 + -6 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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