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Simplifying 2(x + -3) + -1(3x + -8) = 2(4x + -1) + -5 Reorder the terms: 2(-3 + x) + -1(3x + -8) = 2(4x + -1) + -5 (-3 * 2 + x * 2) + -1(3x + -8) = 2(4x + -1) + -5 (-6 + 2x) + -1(3x + -8) = 2(4x + -1) + -5 Reorder the terms: -6 + 2x + -1(-8 + 3x) = 2(4x + -1) + -5 -6 + 2x + (-8 * -1 + 3x * -1) = 2(4x + -1) + -5 -6 + 2x + (8 + -3x) = 2(4x + -1) + -5 Reorder the terms: -6 + 8 + 2x + -3x = 2(4x + -1) + -5 Combine like terms: -6 + 8 = 2 2 + 2x + -3x = 2(4x + -1) + -5 Combine like terms: 2x + -3x = -1x 2 + -1x = 2(4x + -1) + -5 Reorder the terms: 2 + -1x = 2(-1 + 4x) + -5 2 + -1x = (-1 * 2 + 4x * 2) + -5 2 + -1x = (-2 + 8x) + -5 Reorder the terms: 2 + -1x = -2 + -5 + 8x Combine like terms: -2 + -5 = -7 2 + -1x = -7 + 8x Solving 2 + -1x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -1x + -8x = -7 + 8x + -8x Combine like terms: -1x + -8x = -9x 2 + -9x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -9x = -7 + 0 2 + -9x = -7 Add '-2' to each side of the equation. 2 + -2 + -9x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -7 + -2 -9x = -7 + -2 Combine like terms: -7 + -2 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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