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Simplifying -4(2x + -3) + -1(10x + 7) + 2 = (12x + -5) + -1 Reorder the terms: -4(-3 + 2x) + -1(10x + 7) + 2 = (12x + -5) + -1 (-3 * -4 + 2x * -4) + -1(10x + 7) + 2 = (12x + -5) + -1 (12 + -8x) + -1(10x + 7) + 2 = (12x + -5) + -1 Reorder the terms: 12 + -8x + -1(7 + 10x) + 2 = (12x + -5) + -1 12 + -8x + (7 * -1 + 10x * -1) + 2 = (12x + -5) + -1 12 + -8x + (-7 + -10x) + 2 = (12x + -5) + -1 Reorder the terms: 12 + -7 + 2 + -8x + -10x = (12x + -5) + -1 Combine like terms: 12 + -7 = 5 5 + 2 + -8x + -10x = (12x + -5) + -1 Combine like terms: 5 + 2 = 7 7 + -8x + -10x = (12x + -5) + -1 Combine like terms: -8x + -10x = -18x 7 + -18x = (12x + -5) + -1 Reorder the terms: 7 + -18x = (-5 + 12x) + -1 Remove parenthesis around (-5 + 12x) 7 + -18x = -5 + 12x + -1 Reorder the terms: 7 + -18x = -5 + -1 + 12x Combine like terms: -5 + -1 = -6 7 + -18x = -6 + 12x Solving 7 + -18x = -6 + 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. 7 + -18x + -12x = -6 + 12x + -12x Combine like terms: -18x + -12x = -30x 7 + -30x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -30x = -6 + 0 7 + -30x = -6 Add '-7' to each side of the equation. 7 + -7 + -30x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -30x = -6 + -7 -30x = -6 + -7 Combine like terms: -6 + -7 = -13 -30x = -13 Divide each side by '-30'. x = 0.4333333333 Simplifying x = 0.4333333333
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