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Simplifying 5(x + 1) + -3(x + -2) + 2(x + -6) = 0 Reorder the terms: 5(1 + x) + -3(x + -2) + 2(x + -6) = 0 (1 * 5 + x * 5) + -3(x + -2) + 2(x + -6) = 0 (5 + 5x) + -3(x + -2) + 2(x + -6) = 0 Reorder the terms: 5 + 5x + -3(-2 + x) + 2(x + -6) = 0 5 + 5x + (-2 * -3 + x * -3) + 2(x + -6) = 0 5 + 5x + (6 + -3x) + 2(x + -6) = 0 Reorder the terms: 5 + 5x + 6 + -3x + 2(-6 + x) = 0 5 + 5x + 6 + -3x + (-6 * 2 + x * 2) = 0 5 + 5x + 6 + -3x + (-12 + 2x) = 0 Reorder the terms: 5 + 6 + -12 + 5x + -3x + 2x = 0 Combine like terms: 5 + 6 = 11 11 + -12 + 5x + -3x + 2x = 0 Combine like terms: 11 + -12 = -1 -1 + 5x + -3x + 2x = 0 Combine like terms: 5x + -3x = 2x -1 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x -1 + 4x = 0 Solving -1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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