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Simplifying x + 30 = 5(2x + -3) Reorder the terms: 30 + x = 5(2x + -3) Reorder the terms: 30 + x = 5(-3 + 2x) 30 + x = (-3 * 5 + 2x * 5) 30 + x = (-15 + 10x) Solving 30 + x = -15 + 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. 30 + x + -10x = -15 + 10x + -10x Combine like terms: x + -10x = -9x 30 + -9x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -9x = -15 + 0 30 + -9x = -15 Add '-30' to each side of the equation. 30 + -30 + -9x = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = -15 + -30 -9x = -15 + -30 Combine like terms: -15 + -30 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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