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Simplifying 5(1 + 2x) + -12(x + 1) = 0 (1 * 5 + 2x * 5) + -12(x + 1) = 0 (5 + 10x) + -12(x + 1) = 0 Reorder the terms: 5 + 10x + -12(1 + x) = 0 5 + 10x + (1 * -12 + x * -12) = 0 5 + 10x + (-12 + -12x) = 0 Reorder the terms: 5 + -12 + 10x + -12x = 0 Combine like terms: 5 + -12 = -7 -7 + 10x + -12x = 0 Combine like terms: 10x + -12x = -2x -7 + -2x = 0 Solving -7 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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