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Simplifying 3x + -2(x + 9) = 4(x + 8) + -5 Reorder the terms: 3x + -2(9 + x) = 4(x + 8) + -5 3x + (9 * -2 + x * -2) = 4(x + 8) + -5 3x + (-18 + -2x) = 4(x + 8) + -5 Reorder the terms: -18 + 3x + -2x = 4(x + 8) + -5 Combine like terms: 3x + -2x = 1x -18 + 1x = 4(x + 8) + -5 Reorder the terms: -18 + 1x = 4(8 + x) + -5 -18 + 1x = (8 * 4 + x * 4) + -5 -18 + 1x = (32 + 4x) + -5 Reorder the terms: -18 + 1x = 32 + -5 + 4x Combine like terms: 32 + -5 = 27 -18 + 1x = 27 + 4x Solving -18 + 1x = 27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 1x + -4x = 27 + 4x + -4x Combine like terms: 1x + -4x = -3x -18 + -3x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -3x = 27 + 0 -18 + -3x = 27 Add '18' to each side of the equation. -18 + 18 + -3x = 27 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = 27 + 18 -3x = 27 + 18 Combine like terms: 27 + 18 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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