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Simplifying 5x + -3(2x + 1) = 2(x + -6) + -14 Reorder the terms: 5x + -3(1 + 2x) = 2(x + -6) + -14 5x + (1 * -3 + 2x * -3) = 2(x + -6) + -14 5x + (-3 + -6x) = 2(x + -6) + -14 Reorder the terms: -3 + 5x + -6x = 2(x + -6) + -14 Combine like terms: 5x + -6x = -1x -3 + -1x = 2(x + -6) + -14 Reorder the terms: -3 + -1x = 2(-6 + x) + -14 -3 + -1x = (-6 * 2 + x * 2) + -14 -3 + -1x = (-12 + 2x) + -14 Reorder the terms: -3 + -1x = -12 + -14 + 2x Combine like terms: -12 + -14 = -26 -3 + -1x = -26 + 2x Solving -3 + -1x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -1x + -2x = -26 + 2x + -2x Combine like terms: -1x + -2x = -3x -3 + -3x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -3x = -26 + 0 -3 + -3x = -26 Add '3' to each side of the equation. -3 + 3 + -3x = -26 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -26 + 3 -3x = -26 + 3 Combine like terms: -26 + 3 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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