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Simplifying 6x + 5 + -2(-3x + -4) = 2(x + -1) Reorder the terms: 6x + 5 + -2(-4 + -3x) = 2(x + -1) 6x + 5 + (-4 * -2 + -3x * -2) = 2(x + -1) 6x + 5 + (8 + 6x) = 2(x + -1) Reorder the terms: 5 + 8 + 6x + 6x = 2(x + -1) Combine like terms: 5 + 8 = 13 13 + 6x + 6x = 2(x + -1) Combine like terms: 6x + 6x = 12x 13 + 12x = 2(x + -1) Reorder the terms: 13 + 12x = 2(-1 + x) 13 + 12x = (-1 * 2 + x * 2) 13 + 12x = (-2 + 2x) Solving 13 + 12x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 12x + -2x = -2 + 2x + -2x Combine like terms: 12x + -2x = 10x 13 + 10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 10x = -2 + 0 13 + 10x = -2 Add '-13' to each side of the equation. 13 + -13 + 10x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = -2 + -13 10x = -2 + -13 Combine like terms: -2 + -13 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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