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Simplifying 6 + -3(x + 1) = -4(1 + -1x) Reorder the terms: 6 + -3(1 + x) = -4(1 + -1x) 6 + (1 * -3 + x * -3) = -4(1 + -1x) 6 + (-3 + -3x) = -4(1 + -1x) Combine like terms: 6 + -3 = 3 3 + -3x = -4(1 + -1x) 3 + -3x = (1 * -4 + -1x * -4) 3 + -3x = (-4 + 4x) Solving 3 + -3x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -3x + -4x = -4 + 4x + -4x Combine like terms: -3x + -4x = -7x 3 + -7x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -7x = -4 + 0 3 + -7x = -4 Add '-3' to each side of the equation. 3 + -3 + -7x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -4 + -3 -7x = -4 + -3 Combine like terms: -4 + -3 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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