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Simplifying -1x + -3(x + 1) = 6 + 4(2x + 3) Reorder the terms: -1x + -3(1 + x) = 6 + 4(2x + 3) -1x + (1 * -3 + x * -3) = 6 + 4(2x + 3) -1x + (-3 + -3x) = 6 + 4(2x + 3) Reorder the terms: -3 + -1x + -3x = 6 + 4(2x + 3) Combine like terms: -1x + -3x = -4x -3 + -4x = 6 + 4(2x + 3) Reorder the terms: -3 + -4x = 6 + 4(3 + 2x) -3 + -4x = 6 + (3 * 4 + 2x * 4) -3 + -4x = 6 + (12 + 8x) Combine like terms: 6 + 12 = 18 -3 + -4x = 18 + 8x Solving -3 + -4x = 18 + 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. -3 + -4x + -8x = 18 + 8x + -8x Combine like terms: -4x + -8x = -12x -3 + -12x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -12x = 18 + 0 -3 + -12x = 18 Add '3' to each side of the equation. -3 + 3 + -12x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = 18 + 3 -12x = 18 + 3 Combine like terms: 18 + 3 = 21 -12x = 21 Divide each side by '-12'. x = -1.75 Simplifying x = -1.75
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