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Simplifying 3 + -5x + 12 + -9x = -52 + -6x + 40 + 10x Reorder the terms: 3 + 12 + -5x + -9x = -52 + -6x + 40 + 10x Combine like terms: 3 + 12 = 15 15 + -5x + -9x = -52 + -6x + 40 + 10x Combine like terms: -5x + -9x = -14x 15 + -14x = -52 + -6x + 40 + 10x Reorder the terms: 15 + -14x = -52 + 40 + -6x + 10x Combine like terms: -52 + 40 = -12 15 + -14x = -12 + -6x + 10x Combine like terms: -6x + 10x = 4x 15 + -14x = -12 + 4x Solving 15 + -14x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -14x + -4x = -12 + 4x + -4x Combine like terms: -14x + -4x = -18x 15 + -18x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -18x = -12 + 0 15 + -18x = -12 Add '-15' to each side of the equation. 15 + -15 + -18x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = -12 + -15 -18x = -12 + -15 Combine like terms: -12 + -15 = -27 -18x = -27 Divide each side by '-18'. x = 1.5 Simplifying x = 1.5
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