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Simplifying 18x + -15x + -45 = 10x + 20 Reorder the terms: -45 + 18x + -15x = 10x + 20 Combine like terms: 18x + -15x = 3x -45 + 3x = 10x + 20 Reorder the terms: -45 + 3x = 20 + 10x Solving -45 + 3x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + 3x + -10x = 20 + 10x + -10x Combine like terms: 3x + -10x = -7x -45 + -7x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + -7x = 20 + 0 -45 + -7x = 20 Add '45' to each side of the equation. -45 + 45 + -7x = 20 + 45 Combine like terms: -45 + 45 = 0 0 + -7x = 20 + 45 -7x = 20 + 45 Combine like terms: 20 + 45 = 65 -7x = 65 Divide each side by '-7'. x = -9.285714286 Simplifying x = -9.285714286
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