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