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Simplifying x + -9 = 8(2x + 3) + -18 Reorder the terms: -9 + x = 8(2x + 3) + -18 Reorder the terms: -9 + x = 8(3 + 2x) + -18 -9 + x = (3 * 8 + 2x * 8) + -18 -9 + x = (24 + 16x) + -18 Reorder the terms: -9 + x = 24 + -18 + 16x Combine like terms: 24 + -18 = 6 -9 + x = 6 + 16x Solving -9 + x = 6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -9 + x + -16x = 6 + 16x + -16x Combine like terms: x + -16x = -15x -9 + -15x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 -9 + -15x = 6 + 0 -9 + -15x = 6 Add '9' to each side of the equation. -9 + 9 + -15x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -15x = 6 + 9 -15x = 6 + 9 Combine like terms: 6 + 9 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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