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Simplifying -7 + -2(3x + -6) + 10 = 5(4 + -2x) + -3 Reorder the terms: -7 + -2(-6 + 3x) + 10 = 5(4 + -2x) + -3 -7 + (-6 * -2 + 3x * -2) + 10 = 5(4 + -2x) + -3 -7 + (12 + -6x) + 10 = 5(4 + -2x) + -3 Reorder the terms: -7 + 12 + 10 + -6x = 5(4 + -2x) + -3 Combine like terms: -7 + 12 = 5 5 + 10 + -6x = 5(4 + -2x) + -3 Combine like terms: 5 + 10 = 15 15 + -6x = 5(4 + -2x) + -3 15 + -6x = (4 * 5 + -2x * 5) + -3 15 + -6x = (20 + -10x) + -3 Reorder the terms: 15 + -6x = 20 + -3 + -10x Combine like terms: 20 + -3 = 17 15 + -6x = 17 + -10x Solving 15 + -6x = 17 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + -6x + 10x = 17 + -10x + 10x Combine like terms: -6x + 10x = 4x 15 + 4x = 17 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 4x = 17 + 0 15 + 4x = 17 Add '-15' to each side of the equation. 15 + -15 + 4x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 17 + -15 4x = 17 + -15 Combine like terms: 17 + -15 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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