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Simplifying -1(x + 1) + 4(2x + -3) = 3(x + 2) + -8 Reorder the terms: -1(1 + x) + 4(2x + -3) = 3(x + 2) + -8 (1 * -1 + x * -1) + 4(2x + -3) = 3(x + 2) + -8 (-1 + -1x) + 4(2x + -3) = 3(x + 2) + -8 Reorder the terms: -1 + -1x + 4(-3 + 2x) = 3(x + 2) + -8 -1 + -1x + (-3 * 4 + 2x * 4) = 3(x + 2) + -8 -1 + -1x + (-12 + 8x) = 3(x + 2) + -8 Reorder the terms: -1 + -12 + -1x + 8x = 3(x + 2) + -8 Combine like terms: -1 + -12 = -13 -13 + -1x + 8x = 3(x + 2) + -8 Combine like terms: -1x + 8x = 7x -13 + 7x = 3(x + 2) + -8 Reorder the terms: -13 + 7x = 3(2 + x) + -8 -13 + 7x = (2 * 3 + x * 3) + -8 -13 + 7x = (6 + 3x) + -8 Reorder the terms: -13 + 7x = 6 + -8 + 3x Combine like terms: 6 + -8 = -2 -13 + 7x = -2 + 3x Solving -13 + 7x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 7x + -3x = -2 + 3x + -3x Combine like terms: 7x + -3x = 4x -13 + 4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 4x = -2 + 0 -13 + 4x = -2 Add '13' to each side of the equation. -13 + 13 + 4x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = -2 + 13 4x = -2 + 13 Combine like terms: -2 + 13 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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