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Simplifying 9(x + -5) + 3(9 + -2x) = 2(x + 1) + 6 Reorder the terms: 9(-5 + x) + 3(9 + -2x) = 2(x + 1) + 6 (-5 * 9 + x * 9) + 3(9 + -2x) = 2(x + 1) + 6 (-45 + 9x) + 3(9 + -2x) = 2(x + 1) + 6 -45 + 9x + (9 * 3 + -2x * 3) = 2(x + 1) + 6 -45 + 9x + (27 + -6x) = 2(x + 1) + 6 Reorder the terms: -45 + 27 + 9x + -6x = 2(x + 1) + 6 Combine like terms: -45 + 27 = -18 -18 + 9x + -6x = 2(x + 1) + 6 Combine like terms: 9x + -6x = 3x -18 + 3x = 2(x + 1) + 6 Reorder the terms: -18 + 3x = 2(1 + x) + 6 -18 + 3x = (1 * 2 + x * 2) + 6 -18 + 3x = (2 + 2x) + 6 Reorder the terms: -18 + 3x = 2 + 6 + 2x Combine like terms: 2 + 6 = 8 -18 + 3x = 8 + 2x Solving -18 + 3x = 8 + 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. -18 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = 8 + 0 -18 + 1x = 8 Add '18' to each side of the equation. -18 + 18 + 1x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 8 + 18 1x = 8 + 18 Combine like terms: 8 + 18 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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