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Simplifying -6(x + -5) + 2x = 5 + -1(x + 2) + 10 Reorder the terms: -6(-5 + x) + 2x = 5 + -1(x + 2) + 10 (-5 * -6 + x * -6) + 2x = 5 + -1(x + 2) + 10 (30 + -6x) + 2x = 5 + -1(x + 2) + 10 Combine like terms: -6x + 2x = -4x 30 + -4x = 5 + -1(x + 2) + 10 Reorder the terms: 30 + -4x = 5 + -1(2 + x) + 10 30 + -4x = 5 + (2 * -1 + x * -1) + 10 30 + -4x = 5 + (-2 + -1x) + 10 Reorder the terms: 30 + -4x = 5 + -2 + 10 + -1x Combine like terms: 5 + -2 = 3 30 + -4x = 3 + 10 + -1x Combine like terms: 3 + 10 = 13 30 + -4x = 13 + -1x Solving 30 + -4x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + -4x + x = 13 + -1x + x Combine like terms: -4x + x = -3x 30 + -3x = 13 + -1x + x Combine like terms: -1x + x = 0 30 + -3x = 13 + 0 30 + -3x = 13 Add '-30' to each side of the equation. 30 + -30 + -3x = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 13 + -30 -3x = 13 + -30 Combine like terms: 13 + -30 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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