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Simplifying 7x + 8 + -2(-3 + -6x) = 4(x + -1) 7x + 8 + (-3 * -2 + -6x * -2) = 4(x + -1) 7x + 8 + (6 + 12x) = 4(x + -1) Reorder the terms: 8 + 6 + 7x + 12x = 4(x + -1) Combine like terms: 8 + 6 = 14 14 + 7x + 12x = 4(x + -1) Combine like terms: 7x + 12x = 19x 14 + 19x = 4(x + -1) Reorder the terms: 14 + 19x = 4(-1 + x) 14 + 19x = (-1 * 4 + x * 4) 14 + 19x = (-4 + 4x) Solving 14 + 19x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 19x + -4x = -4 + 4x + -4x Combine like terms: 19x + -4x = 15x 14 + 15x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 15x = -4 + 0 14 + 15x = -4 Add '-14' to each side of the equation. 14 + -14 + 15x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -4 + -14 15x = -4 + -14 Combine like terms: -4 + -14 = -18 15x = -18 Divide each side by '15'. x = -1.2 Simplifying x = -1.2
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