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Simplifying 3(2x + 1) + 4(3x + -2) = -4(2x + 1) Reorder the terms: 3(1 + 2x) + 4(3x + -2) = -4(2x + 1) (1 * 3 + 2x * 3) + 4(3x + -2) = -4(2x + 1) (3 + 6x) + 4(3x + -2) = -4(2x + 1) Reorder the terms: 3 + 6x + 4(-2 + 3x) = -4(2x + 1) 3 + 6x + (-2 * 4 + 3x * 4) = -4(2x + 1) 3 + 6x + (-8 + 12x) = -4(2x + 1) Reorder the terms: 3 + -8 + 6x + 12x = -4(2x + 1) Combine like terms: 3 + -8 = -5 -5 + 6x + 12x = -4(2x + 1) Combine like terms: 6x + 12x = 18x -5 + 18x = -4(2x + 1) Reorder the terms: -5 + 18x = -4(1 + 2x) -5 + 18x = (1 * -4 + 2x * -4) -5 + 18x = (-4 + -8x) Solving -5 + 18x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + 18x + 8x = -4 + -8x + 8x Combine like terms: 18x + 8x = 26x -5 + 26x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 26x = -4 + 0 -5 + 26x = -4 Add '5' to each side of the equation. -5 + 5 + 26x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 26x = -4 + 5 26x = -4 + 5 Combine like terms: -4 + 5 = 1 26x = 1 Divide each side by '26'. x = 0.03846153846 Simplifying x = 0.03846153846
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