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Simplifying 4(2x + -9) + 31 = 7x + -13 + -1x + 3(x + 5) Reorder the terms: 4(-9 + 2x) + 31 = 7x + -13 + -1x + 3(x + 5) (-9 * 4 + 2x * 4) + 31 = 7x + -13 + -1x + 3(x + 5) (-36 + 8x) + 31 = 7x + -13 + -1x + 3(x + 5) Reorder the terms: -36 + 31 + 8x = 7x + -13 + -1x + 3(x + 5) Combine like terms: -36 + 31 = -5 -5 + 8x = 7x + -13 + -1x + 3(x + 5) Reorder the terms: -5 + 8x = 7x + -13 + -1x + 3(5 + x) -5 + 8x = 7x + -13 + -1x + (5 * 3 + x * 3) -5 + 8x = 7x + -13 + -1x + (15 + 3x) Reorder the terms: -5 + 8x = -13 + 15 + 7x + -1x + 3x Combine like terms: -13 + 15 = 2 -5 + 8x = 2 + 7x + -1x + 3x Combine like terms: 7x + -1x = 6x -5 + 8x = 2 + 6x + 3x Combine like terms: 6x + 3x = 9x -5 + 8x = 2 + 9x Solving -5 + 8x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 8x + -9x = 2 + 9x + -9x Combine like terms: 8x + -9x = -1x -5 + -1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -1x = 2 + 0 -5 + -1x = 2 Add '5' to each side of the equation. -5 + 5 + -1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 2 + 5 -1x = 2 + 5 Combine like terms: 2 + 5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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