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