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Simplifying x + 3(1 + -1x) = 6 + -4(2x + 3) x + (1 * 3 + -1x * 3) = 6 + -4(2x + 3) x + (3 + -3x) = 6 + -4(2x + 3) Reorder the terms: 3 + x + -3x = 6 + -4(2x + 3) Combine like terms: x + -3x = -2x 3 + -2x = 6 + -4(2x + 3) Reorder the terms: 3 + -2x = 6 + -4(3 + 2x) 3 + -2x = 6 + (3 * -4 + 2x * -4) 3 + -2x = 6 + (-12 + -8x) Combine like terms: 6 + -12 = -6 3 + -2x = -6 + -8x Solving 3 + -2x = -6 + -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 + -2x + 8x = -6 + -8x + 8x Combine like terms: -2x + 8x = 6x 3 + 6x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 6x = -6 + 0 3 + 6x = -6 Add '-3' to each side of the equation. 3 + -3 + 6x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -6 + -3 6x = -6 + -3 Combine like terms: -6 + -3 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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