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Simplifying -2x + 30 = 7(x + 3) Reorder the terms: 30 + -2x = 7(x + 3) Reorder the terms: 30 + -2x = 7(3 + x) 30 + -2x = (3 * 7 + x * 7) 30 + -2x = (21 + 7x) Solving 30 + -2x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + -2x + -7x = 21 + 7x + -7x Combine like terms: -2x + -7x = -9x 30 + -9x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -9x = 21 + 0 30 + -9x = 21 Add '-30' to each side of the equation. 30 + -30 + -9x = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 21 + -30 -9x = 21 + -30 Combine like terms: 21 + -30 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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