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Simplifying 3(x + 8) + -4(x + -3) = 12 Reorder the terms: 3(8 + x) + -4(x + -3) = 12 (8 * 3 + x * 3) + -4(x + -3) = 12 (24 + 3x) + -4(x + -3) = 12 Reorder the terms: 24 + 3x + -4(-3 + x) = 12 24 + 3x + (-3 * -4 + x * -4) = 12 24 + 3x + (12 + -4x) = 12 Reorder the terms: 24 + 12 + 3x + -4x = 12 Combine like terms: 24 + 12 = 36 36 + 3x + -4x = 12 Combine like terms: 3x + -4x = -1x 36 + -1x = 12 Solving 36 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 12 + -36 -1x = 12 + -36 Combine like terms: 12 + -36 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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