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Simplifying 7[6 + -1(1 + 2x)] + 10x = 2(10 + -3x) + 8x 7[6 + (1 * -1 + 2x * -1)] + 10x = 2(10 + -3x) + 8x 7[6 + (-1 + -2x)] + 10x = 2(10 + -3x) + 8x Combine like terms: 6 + -1 = 5 7[5 + -2x] + 10x = 2(10 + -3x) + 8x [5 * 7 + -2x * 7] + 10x = 2(10 + -3x) + 8x [35 + -14x] + 10x = 2(10 + -3x) + 8x Combine like terms: -14x + 10x = -4x 35 + -4x = 2(10 + -3x) + 8x 35 + -4x = (10 * 2 + -3x * 2) + 8x 35 + -4x = (20 + -6x) + 8x Combine like terms: -6x + 8x = 2x 35 + -4x = 20 + 2x Solving 35 + -4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + -4x + -2x = 20 + 2x + -2x Combine like terms: -4x + -2x = -6x 35 + -6x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -6x = 20 + 0 35 + -6x = 20 Add '-35' to each side of the equation. 35 + -35 + -6x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = 20 + -35 -6x = 20 + -35 Combine like terms: 20 + -35 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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