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Simplifying 5(x + 6) + -2x = 4(2x + 10) Reorder the terms: 5(6 + x) + -2x = 4(2x + 10) (6 * 5 + x * 5) + -2x = 4(2x + 10) (30 + 5x) + -2x = 4(2x + 10) Combine like terms: 5x + -2x = 3x 30 + 3x = 4(2x + 10) Reorder the terms: 30 + 3x = 4(10 + 2x) 30 + 3x = (10 * 4 + 2x * 4) 30 + 3x = (40 + 8x) Solving 30 + 3x = 40 + 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 + 3x + -8x = 40 + 8x + -8x Combine like terms: 3x + -8x = -5x 30 + -5x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -5x = 40 + 0 30 + -5x = 40 Add '-30' to each side of the equation. 30 + -30 + -5x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 40 + -30 -5x = 40 + -30 Combine like terms: 40 + -30 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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