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Simplifying 5x + 3 + -2(-6x + -4) = 7(x + -1) Reorder the terms: 5x + 3 + -2(-4 + -6x) = 7(x + -1) 5x + 3 + (-4 * -2 + -6x * -2) = 7(x + -1) 5x + 3 + (8 + 12x) = 7(x + -1) Reorder the terms: 3 + 8 + 5x + 12x = 7(x + -1) Combine like terms: 3 + 8 = 11 11 + 5x + 12x = 7(x + -1) Combine like terms: 5x + 12x = 17x 11 + 17x = 7(x + -1) Reorder the terms: 11 + 17x = 7(-1 + x) 11 + 17x = (-1 * 7 + x * 7) 11 + 17x = (-7 + 7x) Solving 11 + 17x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 17x + -7x = -7 + 7x + -7x Combine like terms: 17x + -7x = 10x 11 + 10x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 10x = -7 + 0 11 + 10x = -7 Add '-11' to each side of the equation. 11 + -11 + 10x = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = -7 + -11 10x = -7 + -11 Combine like terms: -7 + -11 = -18 10x = -18 Divide each side by '10'. x = -1.8 Simplifying x = -1.8
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