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Simplifying 2x + -3(x + -5) + 7x = 8 + 6(4x + -1x) + 2 Reorder the terms: 2x + -3(-5 + x) + 7x = 8 + 6(4x + -1x) + 2 2x + (-5 * -3 + x * -3) + 7x = 8 + 6(4x + -1x) + 2 2x + (15 + -3x) + 7x = 8 + 6(4x + -1x) + 2 Reorder the terms: 15 + 2x + -3x + 7x = 8 + 6(4x + -1x) + 2 Combine like terms: 2x + -3x = -1x 15 + -1x + 7x = 8 + 6(4x + -1x) + 2 Combine like terms: -1x + 7x = 6x 15 + 6x = 8 + 6(4x + -1x) + 2 Combine like terms: 4x + -1x = 3x 15 + 6x = 8 + 6(3x) + 2 Remove parenthesis around (3x) 15 + 6x = 8 + 6 * 3x + 2 Multiply 6 * 3 15 + 6x = 8 + 18x + 2 Reorder the terms: 15 + 6x = 8 + 2 + 18x Combine like terms: 8 + 2 = 10 15 + 6x = 10 + 18x Solving 15 + 6x = 10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + 6x + -18x = 10 + 18x + -18x Combine like terms: 6x + -18x = -12x 15 + -12x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -12x = 10 + 0 15 + -12x = 10 Add '-15' to each side of the equation. 15 + -15 + -12x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = 10 + -15 -12x = 10 + -15 Combine like terms: 10 + -15 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667
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