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Simplifying 5(2x + -6) = 4(2x + 7) Reorder the terms: 5(-6 + 2x) = 4(2x + 7) (-6 * 5 + 2x * 5) = 4(2x + 7) (-30 + 10x) = 4(2x + 7) Reorder the terms: -30 + 10x = 4(7 + 2x) -30 + 10x = (7 * 4 + 2x * 4) -30 + 10x = (28 + 8x) Solving -30 + 10x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + 10x + -8x = 28 + 8x + -8x Combine like terms: 10x + -8x = 2x -30 + 2x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 2x = 28 + 0 -30 + 2x = 28 Add '30' to each side of the equation. -30 + 30 + 2x = 28 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 28 + 30 2x = 28 + 30 Combine like terms: 28 + 30 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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