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Simplifying 2(3 + -5x) + 6x = 4 + -1(x + -7) (3 * 2 + -5x * 2) + 6x = 4 + -1(x + -7) (6 + -10x) + 6x = 4 + -1(x + -7) Combine like terms: -10x + 6x = -4x 6 + -4x = 4 + -1(x + -7) Reorder the terms: 6 + -4x = 4 + -1(-7 + x) 6 + -4x = 4 + (-7 * -1 + x * -1) 6 + -4x = 4 + (7 + -1x) Combine like terms: 4 + 7 = 11 6 + -4x = 11 + -1x Solving 6 + -4x = 11 + -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. 6 + -4x + x = 11 + -1x + x Combine like terms: -4x + x = -3x 6 + -3x = 11 + -1x + x Combine like terms: -1x + x = 0 6 + -3x = 11 + 0 6 + -3x = 11 Add '-6' to each side of the equation. 6 + -6 + -3x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 11 + -6 -3x = 11 + -6 Combine like terms: 11 + -6 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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