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Simplifying 4(3x + -2) + -2 = (x + -2) + 70 Reorder the terms: 4(-2 + 3x) + -2 = (x + -2) + 70 (-2 * 4 + 3x * 4) + -2 = (x + -2) + 70 (-8 + 12x) + -2 = (x + -2) + 70 Reorder the terms: -8 + -2 + 12x = (x + -2) + 70 Combine like terms: -8 + -2 = -10 -10 + 12x = (x + -2) + 70 Reorder the terms: -10 + 12x = (-2 + x) + 70 Remove parenthesis around (-2 + x) -10 + 12x = -2 + x + 70 Reorder the terms: -10 + 12x = -2 + 70 + x Combine like terms: -2 + 70 = 68 -10 + 12x = 68 + x Solving -10 + 12x = 68 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 12x + -1x = 68 + x + -1x Combine like terms: 12x + -1x = 11x -10 + 11x = 68 + x + -1x Combine like terms: x + -1x = 0 -10 + 11x = 68 + 0 -10 + 11x = 68 Add '10' to each side of the equation. -10 + 10 + 11x = 68 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 68 + 10 11x = 68 + 10 Combine like terms: 68 + 10 = 78 11x = 78 Divide each side by '11'. x = 7.090909091 Simplifying x = 7.090909091
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