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Simplifying 10 + -6(2x + -5) + 2x = (7 + -1x) Reorder the terms: 10 + -6(-5 + 2x) + 2x = (7 + -1x) 10 + (-5 * -6 + 2x * -6) + 2x = (7 + -1x) 10 + (30 + -12x) + 2x = (7 + -1x) Combine like terms: 10 + 30 = 40 40 + -12x + 2x = (7 + -1x) Combine like terms: -12x + 2x = -10x 40 + -10x = (7 + -1x) Remove parenthesis around (7 + -1x) 40 + -10x = 7 + -1x Solving 40 + -10x = 7 + -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. 40 + -10x + x = 7 + -1x + x Combine like terms: -10x + x = -9x 40 + -9x = 7 + -1x + x Combine like terms: -1x + x = 0 40 + -9x = 7 + 0 40 + -9x = 7 Add '-40' to each side of the equation. 40 + -40 + -9x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = 7 + -40 -9x = 7 + -40 Combine like terms: 7 + -40 = -33 -9x = -33 Divide each side by '-9'. x = 3.666666667 Simplifying x = 3.666666667
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