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Simplifying 3x + 8 + -3(3x + -2) = 4(x + -1) Reorder the terms: 3x + 8 + -3(-2 + 3x) = 4(x + -1) 3x + 8 + (-2 * -3 + 3x * -3) = 4(x + -1) 3x + 8 + (6 + -9x) = 4(x + -1) Reorder the terms: 8 + 6 + 3x + -9x = 4(x + -1) Combine like terms: 8 + 6 = 14 14 + 3x + -9x = 4(x + -1) Combine like terms: 3x + -9x = -6x 14 + -6x = 4(x + -1) Reorder the terms: 14 + -6x = 4(-1 + x) 14 + -6x = (-1 * 4 + x * 4) 14 + -6x = (-4 + 4x) Solving 14 + -6x = -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 + -6x + -4x = -4 + 4x + -4x Combine like terms: -6x + -4x = -10x 14 + -10x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -10x = -4 + 0 14 + -10x = -4 Add '-14' to each side of the equation. 14 + -14 + -10x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -4 + -14 -10x = -4 + -14 Combine like terms: -4 + -14 = -18 -10x = -18 Divide each side by '-10'. x = 1.8 Simplifying x = 1.8
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