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Simplifying -3(2x + -6) + 2x = 7 + 3(4x + -1) Reorder the terms: -3(-6 + 2x) + 2x = 7 + 3(4x + -1) (-6 * -3 + 2x * -3) + 2x = 7 + 3(4x + -1) (18 + -6x) + 2x = 7 + 3(4x + -1) Combine like terms: -6x + 2x = -4x 18 + -4x = 7 + 3(4x + -1) Reorder the terms: 18 + -4x = 7 + 3(-1 + 4x) 18 + -4x = 7 + (-1 * 3 + 4x * 3) 18 + -4x = 7 + (-3 + 12x) Combine like terms: 7 + -3 = 4 18 + -4x = 4 + 12x Solving 18 + -4x = 4 + 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. 18 + -4x + -12x = 4 + 12x + -12x Combine like terms: -4x + -12x = -16x 18 + -16x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -16x = 4 + 0 18 + -16x = 4 Add '-18' to each side of the equation. 18 + -18 + -16x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -16x = 4 + -18 -16x = 4 + -18 Combine like terms: 4 + -18 = -14 -16x = -14 Divide each side by '-16'. x = 0.875 Simplifying x = 0.875
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