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Simplifying 45 = 5(x + -3) + 10x Reorder the terms: 45 = 5(-3 + x) + 10x 45 = (-3 * 5 + x * 5) + 10x 45 = (-15 + 5x) + 10x Combine like terms: 5x + 10x = 15x 45 = -15 + 15x Solving 45 = -15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + -15x = -15 + 15x + -15x Combine like terms: 15x + -15x = 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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