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Simplifying 10 + 4x = 2(-1x + 5) + -12 Reorder the terms: 10 + 4x = 2(5 + -1x) + -12 10 + 4x = (5 * 2 + -1x * 2) + -12 10 + 4x = (10 + -2x) + -12 Reorder the terms: 10 + 4x = 10 + -12 + -2x Combine like terms: 10 + -12 = -2 10 + 4x = -2 + -2x Solving 10 + 4x = -2 + -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 + 4x + 2x = -2 + -2x + 2x Combine like terms: 4x + 2x = 6x 10 + 6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 6x = -2 + 0 10 + 6x = -2 Add '-10' to each side of the equation. 10 + -10 + 6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -2 + -10 6x = -2 + -10 Combine like terms: -2 + -10 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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