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