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Simplifying -2(5 + -3x) + -6(2x + -4) = x + 1 (5 * -2 + -3x * -2) + -6(2x + -4) = x + 1 (-10 + 6x) + -6(2x + -4) = x + 1 Reorder the terms: -10 + 6x + -6(-4 + 2x) = x + 1 -10 + 6x + (-4 * -6 + 2x * -6) = x + 1 -10 + 6x + (24 + -12x) = x + 1 Reorder the terms: -10 + 24 + 6x + -12x = x + 1 Combine like terms: -10 + 24 = 14 14 + 6x + -12x = x + 1 Combine like terms: 6x + -12x = -6x 14 + -6x = x + 1 Reorder the terms: 14 + -6x = 1 + x Solving 14 + -6x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + -6x + -1x = 1 + x + -1x Combine like terms: -6x + -1x = -7x 14 + -7x = 1 + x + -1x Combine like terms: x + -1x = 0 14 + -7x = 1 + 0 14 + -7x = 1 Add '-14' to each side of the equation. 14 + -14 + -7x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 1 + -14 -7x = 1 + -14 Combine like terms: 1 + -14 = -13 -7x = -13 Divide each side by '-7'. x = 1.857142857 Simplifying x = 1.857142857
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