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Simplifying -2(7x + -4) + 8x = 5 + 3(4x + -1) Reorder the terms: -2(-4 + 7x) + 8x = 5 + 3(4x + -1) (-4 * -2 + 7x * -2) + 8x = 5 + 3(4x + -1) (8 + -14x) + 8x = 5 + 3(4x + -1) Combine like terms: -14x + 8x = -6x 8 + -6x = 5 + 3(4x + -1) Reorder the terms: 8 + -6x = 5 + 3(-1 + 4x) 8 + -6x = 5 + (-1 * 3 + 4x * 3) 8 + -6x = 5 + (-3 + 12x) Combine like terms: 5 + -3 = 2 8 + -6x = 2 + 12x Solving 8 + -6x = 2 + 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 + -6x + -12x = 2 + 12x + -12x Combine like terms: -6x + -12x = -18x 8 + -18x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -18x = 2 + 0 8 + -18x = 2 Add '-8' to each side of the equation. 8 + -8 + -18x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = 2 + -8 -18x = 2 + -8 Combine like terms: 2 + -8 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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