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Simplifying 13(x + -1) + -7x + 9 = 9(x + 1) + -1x + -33 Reorder the terms: 13(-1 + x) + -7x + 9 = 9(x + 1) + -1x + -33 (-1 * 13 + x * 13) + -7x + 9 = 9(x + 1) + -1x + -33 (-13 + 13x) + -7x + 9 = 9(x + 1) + -1x + -33 Reorder the terms: -13 + 9 + 13x + -7x = 9(x + 1) + -1x + -33 Combine like terms: -13 + 9 = -4 -4 + 13x + -7x = 9(x + 1) + -1x + -33 Combine like terms: 13x + -7x = 6x -4 + 6x = 9(x + 1) + -1x + -33 Reorder the terms: -4 + 6x = 9(1 + x) + -1x + -33 -4 + 6x = (1 * 9 + x * 9) + -1x + -33 -4 + 6x = (9 + 9x) + -1x + -33 Reorder the terms: -4 + 6x = 9 + -33 + 9x + -1x Combine like terms: 9 + -33 = -24 -4 + 6x = -24 + 9x + -1x Combine like terms: 9x + -1x = 8x -4 + 6x = -24 + 8x Solving -4 + 6x = -24 + 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. -4 + 6x + -8x = -24 + 8x + -8x Combine like terms: 6x + -8x = -2x -4 + -2x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -2x = -24 + 0 -4 + -2x = -24 Add '4' to each side of the equation. -4 + 4 + -2x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -24 + 4 -2x = -24 + 4 Combine like terms: -24 + 4 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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