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Simplifying 5(2x + 6) = -4(-5 + -2x) + 3 Reorder the terms: 5(6 + 2x) = -4(-5 + -2x) + 3 (6 * 5 + 2x * 5) = -4(-5 + -2x) + 3 (30 + 10x) = -4(-5 + -2x) + 3 30 + 10x = (-5 * -4 + -2x * -4) + 3 30 + 10x = (20 + 8x) + 3 Reorder the terms: 30 + 10x = 20 + 3 + 8x Combine like terms: 20 + 3 = 23 30 + 10x = 23 + 8x Solving 30 + 10x = 23 + 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 = 23 + 8x + -8x Combine like terms: 10x + -8x = 2x 30 + 2x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 2x = 23 + 0 30 + 2x = 23 Add '-30' to each side of the equation. 30 + -30 + 2x = 23 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 23 + -30 2x = 23 + -30 Combine like terms: 23 + -30 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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