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Simplifying 15x + 15x + -12x + 32 = 40x + -20 Reorder the terms: 32 + 15x + 15x + -12x = 40x + -20 Combine like terms: 15x + 15x = 30x 32 + 30x + -12x = 40x + -20 Combine like terms: 30x + -12x = 18x 32 + 18x = 40x + -20 Reorder the terms: 32 + 18x = -20 + 40x Solving 32 + 18x = -20 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 32 + 18x + -40x = -20 + 40x + -40x Combine like terms: 18x + -40x = -22x 32 + -22x = -20 + 40x + -40x Combine like terms: 40x + -40x = 0 32 + -22x = -20 + 0 32 + -22x = -20 Add '-32' to each side of the equation. 32 + -32 + -22x = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -22x = -20 + -32 -22x = -20 + -32 Combine like terms: -20 + -32 = -52 -22x = -52 Divide each side by '-22'. x = 2.363636364 Simplifying x = 2.363636364
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