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Simplifying 8x + 7 + -3(-2x + -1) = 2(x + -4) Reorder the terms: 8x + 7 + -3(-1 + -2x) = 2(x + -4) 8x + 7 + (-1 * -3 + -2x * -3) = 2(x + -4) 8x + 7 + (3 + 6x) = 2(x + -4) Reorder the terms: 7 + 3 + 8x + 6x = 2(x + -4) Combine like terms: 7 + 3 = 10 10 + 8x + 6x = 2(x + -4) Combine like terms: 8x + 6x = 14x 10 + 14x = 2(x + -4) Reorder the terms: 10 + 14x = 2(-4 + x) 10 + 14x = (-4 * 2 + x * 2) 10 + 14x = (-8 + 2x) Solving 10 + 14x = -8 + 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. 10 + 14x + -2x = -8 + 2x + -2x Combine like terms: 14x + -2x = 12x 10 + 12x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 12x = -8 + 0 10 + 12x = -8 Add '-10' to each side of the equation. 10 + -10 + 12x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = -8 + -10 12x = -8 + -10 Combine like terms: -8 + -10 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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