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Simplifying 3x + -4(2x + 1) = -1(x + -3) + 6x + 8 Reorder the terms: 3x + -4(1 + 2x) = -1(x + -3) + 6x + 8 3x + (1 * -4 + 2x * -4) = -1(x + -3) + 6x + 8 3x + (-4 + -8x) = -1(x + -3) + 6x + 8 Reorder the terms: -4 + 3x + -8x = -1(x + -3) + 6x + 8 Combine like terms: 3x + -8x = -5x -4 + -5x = -1(x + -3) + 6x + 8 Reorder the terms: -4 + -5x = -1(-3 + x) + 6x + 8 -4 + -5x = (-3 * -1 + x * -1) + 6x + 8 -4 + -5x = (3 + -1x) + 6x + 8 Reorder the terms: -4 + -5x = 3 + 8 + -1x + 6x Combine like terms: 3 + 8 = 11 -4 + -5x = 11 + -1x + 6x Combine like terms: -1x + 6x = 5x -4 + -5x = 11 + 5x Solving -4 + -5x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + -5x + -5x = 11 + 5x + -5x Combine like terms: -5x + -5x = -10x -4 + -10x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -10x = 11 + 0 -4 + -10x = 11 Add '4' to each side of the equation. -4 + 4 + -10x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 11 + 4 -10x = 11 + 4 Combine like terms: 11 + 4 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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