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Simplifying 4(x + 2) + -6x = 3(4x + -1) Reorder the terms: 4(2 + x) + -6x = 3(4x + -1) (2 * 4 + x * 4) + -6x = 3(4x + -1) (8 + 4x) + -6x = 3(4x + -1) Combine like terms: 4x + -6x = -2x 8 + -2x = 3(4x + -1) Reorder the terms: 8 + -2x = 3(-1 + 4x) 8 + -2x = (-1 * 3 + 4x * 3) 8 + -2x = (-3 + 12x) Solving 8 + -2x = -3 + 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. 8 + -2x + -12x = -3 + 12x + -12x Combine like terms: -2x + -12x = -14x 8 + -14x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -14x = -3 + 0 8 + -14x = -3 Add '-8' to each side of the equation. 8 + -8 + -14x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -3 + -8 -14x = -3 + -8 Combine like terms: -3 + -8 = -11 -14x = -11 Divide each side by '-14'. x = 0.7857142857 Simplifying x = 0.7857142857
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