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Simplifying 3(x + 1) + -8 = 4 + -2(3x + -4) Reorder the terms: 3(1 + x) + -8 = 4 + -2(3x + -4) (1 * 3 + x * 3) + -8 = 4 + -2(3x + -4) (3 + 3x) + -8 = 4 + -2(3x + -4) Reorder the terms: 3 + -8 + 3x = 4 + -2(3x + -4) Combine like terms: 3 + -8 = -5 -5 + 3x = 4 + -2(3x + -4) Reorder the terms: -5 + 3x = 4 + -2(-4 + 3x) -5 + 3x = 4 + (-4 * -2 + 3x * -2) -5 + 3x = 4 + (8 + -6x) Combine like terms: 4 + 8 = 12 -5 + 3x = 12 + -6x Solving -5 + 3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x -5 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 9x = 12 + 0 -5 + 9x = 12 Add '5' to each side of the equation. -5 + 5 + 9x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 12 + 5 9x = 12 + 5 Combine like terms: 12 + 5 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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