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Simplifying 5 + -2(x + -1) = 6x + 3(2x + -7) Reorder the terms: 5 + -2(-1 + x) = 6x + 3(2x + -7) 5 + (-1 * -2 + x * -2) = 6x + 3(2x + -7) 5 + (2 + -2x) = 6x + 3(2x + -7) Combine like terms: 5 + 2 = 7 7 + -2x = 6x + 3(2x + -7) Reorder the terms: 7 + -2x = 6x + 3(-7 + 2x) 7 + -2x = 6x + (-7 * 3 + 2x * 3) 7 + -2x = 6x + (-21 + 6x) Reorder the terms: 7 + -2x = -21 + 6x + 6x Combine like terms: 6x + 6x = 12x 7 + -2x = -21 + 12x Solving 7 + -2x = -21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + -2x + -12x = -21 + 12x + -12x Combine like terms: -2x + -12x = -14x 7 + -14x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -14x = -21 + 0 7 + -14x = -21 Add '-7' to each side of the equation. 7 + -7 + -14x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -21 + -7 -14x = -21 + -7 Combine like terms: -21 + -7 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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