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Simplifying x + -45 = 8(2x + 3) + -9 Reorder the terms: -45 + x = 8(2x + 3) + -9 Reorder the terms: -45 + x = 8(3 + 2x) + -9 -45 + x = (3 * 8 + 2x * 8) + -9 -45 + x = (24 + 16x) + -9 Reorder the terms: -45 + x = 24 + -9 + 16x Combine like terms: 24 + -9 = 15 -45 + x = 15 + 16x Solving -45 + x = 15 + 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. -45 + x + -16x = 15 + 16x + -16x Combine like terms: x + -16x = -15x -45 + -15x = 15 + 16x + -16x Combine like terms: 16x + -16x = 0 -45 + -15x = 15 + 0 -45 + -15x = 15 Add '45' to each side of the equation. -45 + 45 + -15x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + -15x = 15 + 45 -15x = 15 + 45 Combine like terms: 15 + 45 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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