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Simplifying 5(2x + 6) = 4(3 + -2x) + 10 Reorder the terms: 5(6 + 2x) = 4(3 + -2x) + 10 (6 * 5 + 2x * 5) = 4(3 + -2x) + 10 (30 + 10x) = 4(3 + -2x) + 10 30 + 10x = (3 * 4 + -2x * 4) + 10 30 + 10x = (12 + -8x) + 10 Reorder the terms: 30 + 10x = 12 + 10 + -8x Combine like terms: 12 + 10 = 22 30 + 10x = 22 + -8x Solving 30 + 10x = 22 + -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 = 22 + -8x + 8x Combine like terms: 10x + 8x = 18x 30 + 18x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + 18x = 22 + 0 30 + 18x = 22 Add '-30' to each side of the equation. 30 + -30 + 18x = 22 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 22 + -30 18x = 22 + -30 Combine like terms: 22 + -30 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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