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Simplifying 2(x + -5) + -1(3x + -2) = 4(2x + -3) + -5 Reorder the terms: 2(-5 + x) + -1(3x + -2) = 4(2x + -3) + -5 (-5 * 2 + x * 2) + -1(3x + -2) = 4(2x + -3) + -5 (-10 + 2x) + -1(3x + -2) = 4(2x + -3) + -5 Reorder the terms: -10 + 2x + -1(-2 + 3x) = 4(2x + -3) + -5 -10 + 2x + (-2 * -1 + 3x * -1) = 4(2x + -3) + -5 -10 + 2x + (2 + -3x) = 4(2x + -3) + -5 Reorder the terms: -10 + 2 + 2x + -3x = 4(2x + -3) + -5 Combine like terms: -10 + 2 = -8 -8 + 2x + -3x = 4(2x + -3) + -5 Combine like terms: 2x + -3x = -1x -8 + -1x = 4(2x + -3) + -5 Reorder the terms: -8 + -1x = 4(-3 + 2x) + -5 -8 + -1x = (-3 * 4 + 2x * 4) + -5 -8 + -1x = (-12 + 8x) + -5 Reorder the terms: -8 + -1x = -12 + -5 + 8x Combine like terms: -12 + -5 = -17 -8 + -1x = -17 + 8x Solving -8 + -1x = -17 + 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. -8 + -1x + -8x = -17 + 8x + -8x Combine like terms: -1x + -8x = -9x -8 + -9x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -9x = -17 + 0 -8 + -9x = -17 Add '8' to each side of the equation. -8 + 8 + -9x = -17 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -17 + 8 -9x = -17 + 8 Combine like terms: -17 + 8 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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