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Simplifying -18 = 3(x + 7) + -8(x + -2) Reorder the terms: -18 = 3(7 + x) + -8(x + -2) -18 = (7 * 3 + x * 3) + -8(x + -2) -18 = (21 + 3x) + -8(x + -2) Reorder the terms: -18 = 21 + 3x + -8(-2 + x) -18 = 21 + 3x + (-2 * -8 + x * -8) -18 = 21 + 3x + (16 + -8x) Reorder the terms: -18 = 21 + 16 + 3x + -8x Combine like terms: 21 + 16 = 37 -18 = 37 + 3x + -8x Combine like terms: 3x + -8x = -5x -18 = 37 + -5x Solving -18 = 37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + 5x = 37 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 5x = 37 + 0 -18 + 5x = 37 Add '18' to each side of the equation. -18 + 18 + 5x = 37 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 37 + 18 5x = 37 + 18 Combine like terms: 37 + 18 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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