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Simplifying 2(-7x + -4) + 18 + x = 32 + -2x Reorder the terms: 2(-4 + -7x) + 18 + x = 32 + -2x (-4 * 2 + -7x * 2) + 18 + x = 32 + -2x (-8 + -14x) + 18 + x = 32 + -2x Reorder the terms: -8 + 18 + -14x + x = 32 + -2x Combine like terms: -8 + 18 = 10 10 + -14x + x = 32 + -2x Combine like terms: -14x + x = -13x 10 + -13x = 32 + -2x Solving 10 + -13x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -13x + 2x = 32 + -2x + 2x Combine like terms: -13x + 2x = -11x 10 + -11x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -11x = 32 + 0 10 + -11x = 32 Add '-10' to each side of the equation. 10 + -10 + -11x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 32 + -10 -11x = 32 + -10 Combine like terms: 32 + -10 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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