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Simplifying 4x + 12 = 15x + -10 Reorder the terms: 12 + 4x = 15x + -10 Reorder the terms: 12 + 4x = -10 + 15x Solving 12 + 4x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 4x + -15x = -10 + 15x + -15x Combine like terms: 4x + -15x = -11x 12 + -11x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -11x = -10 + 0 12 + -11x = -10 Add '-12' to each side of the equation. 12 + -12 + -11x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -10 + -12 -11x = -10 + -12 Combine like terms: -10 + -12 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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