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Simplifying 4(5x + 5) + -2(x + -6) = 2x + -43 + x Reorder the terms: 4(5 + 5x) + -2(x + -6) = 2x + -43 + x (5 * 4 + 5x * 4) + -2(x + -6) = 2x + -43 + x (20 + 20x) + -2(x + -6) = 2x + -43 + x Reorder the terms: 20 + 20x + -2(-6 + x) = 2x + -43 + x 20 + 20x + (-6 * -2 + x * -2) = 2x + -43 + x 20 + 20x + (12 + -2x) = 2x + -43 + x Reorder the terms: 20 + 12 + 20x + -2x = 2x + -43 + x Combine like terms: 20 + 12 = 32 32 + 20x + -2x = 2x + -43 + x Combine like terms: 20x + -2x = 18x 32 + 18x = 2x + -43 + x Reorder the terms: 32 + 18x = -43 + 2x + x Combine like terms: 2x + x = 3x 32 + 18x = -43 + 3x Solving 32 + 18x = -43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + 18x + -3x = -43 + 3x + -3x Combine like terms: 18x + -3x = 15x 32 + 15x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 15x = -43 + 0 32 + 15x = -43 Add '-32' to each side of the equation. 32 + -32 + 15x = -43 + -32 Combine like terms: 32 + -32 = 0 0 + 15x = -43 + -32 15x = -43 + -32 Combine like terms: -43 + -32 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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