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Simplifying 2x + -3(x + -5) + 7x = 8 + 6(4 + -1x) + 2 Reorder the terms: 2x + -3(-5 + x) + 7x = 8 + 6(4 + -1x) + 2 2x + (-5 * -3 + x * -3) + 7x = 8 + 6(4 + -1x) + 2 2x + (15 + -3x) + 7x = 8 + 6(4 + -1x) + 2 Reorder the terms: 15 + 2x + -3x + 7x = 8 + 6(4 + -1x) + 2 Combine like terms: 2x + -3x = -1x 15 + -1x + 7x = 8 + 6(4 + -1x) + 2 Combine like terms: -1x + 7x = 6x 15 + 6x = 8 + 6(4 + -1x) + 2 15 + 6x = 8 + (4 * 6 + -1x * 6) + 2 15 + 6x = 8 + (24 + -6x) + 2 Reorder the terms: 15 + 6x = 8 + 24 + 2 + -6x Combine like terms: 8 + 24 = 32 15 + 6x = 32 + 2 + -6x Combine like terms: 32 + 2 = 34 15 + 6x = 34 + -6x Solving 15 + 6x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 6x + 6x = 34 + -6x + 6x Combine like terms: 6x + 6x = 12x 15 + 12x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 12x = 34 + 0 15 + 12x = 34 Add '-15' to each side of the equation. 15 + -15 + 12x = 34 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 34 + -15 12x = 34 + -15 Combine like terms: 34 + -15 = 19 12x = 19 Divide each side by '12'. x = 1.583333333 Simplifying x = 1.583333333
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