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Simplifying -2(x + -4) + -3(2x + 1) = 2(x + -4) + -3 Reorder the terms: -2(-4 + x) + -3(2x + 1) = 2(x + -4) + -3 (-4 * -2 + x * -2) + -3(2x + 1) = 2(x + -4) + -3 (8 + -2x) + -3(2x + 1) = 2(x + -4) + -3 Reorder the terms: 8 + -2x + -3(1 + 2x) = 2(x + -4) + -3 8 + -2x + (1 * -3 + 2x * -3) = 2(x + -4) + -3 8 + -2x + (-3 + -6x) = 2(x + -4) + -3 Reorder the terms: 8 + -3 + -2x + -6x = 2(x + -4) + -3 Combine like terms: 8 + -3 = 5 5 + -2x + -6x = 2(x + -4) + -3 Combine like terms: -2x + -6x = -8x 5 + -8x = 2(x + -4) + -3 Reorder the terms: 5 + -8x = 2(-4 + x) + -3 5 + -8x = (-4 * 2 + x * 2) + -3 5 + -8x = (-8 + 2x) + -3 Reorder the terms: 5 + -8x = -8 + -3 + 2x Combine like terms: -8 + -3 = -11 5 + -8x = -11 + 2x Solving 5 + -8x = -11 + 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. 5 + -8x + -2x = -11 + 2x + -2x Combine like terms: -8x + -2x = -10x 5 + -10x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -10x = -11 + 0 5 + -10x = -11 Add '-5' to each side of the equation. 5 + -5 + -10x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = -11 + -5 -10x = -11 + -5 Combine like terms: -11 + -5 = -16 -10x = -16 Divide each side by '-10'. x = 1.6 Simplifying x = 1.6
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