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Simplifying 7 + -2(5x + 1) = 4(10 + -3x) + -8 Reorder the terms: 7 + -2(1 + 5x) = 4(10 + -3x) + -8 7 + (1 * -2 + 5x * -2) = 4(10 + -3x) + -8 7 + (-2 + -10x) = 4(10 + -3x) + -8 Combine like terms: 7 + -2 = 5 5 + -10x = 4(10 + -3x) + -8 5 + -10x = (10 * 4 + -3x * 4) + -8 5 + -10x = (40 + -12x) + -8 Reorder the terms: 5 + -10x = 40 + -8 + -12x Combine like terms: 40 + -8 = 32 5 + -10x = 32 + -12x Solving 5 + -10x = 32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 5 + -10x + 12x = 32 + -12x + 12x Combine like terms: -10x + 12x = 2x 5 + 2x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + 2x = 32 + 0 5 + 2x = 32 Add '-5' to each side of the equation. 5 + -5 + 2x = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 32 + -5 2x = 32 + -5 Combine like terms: 32 + -5 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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