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Simplifying 4 + -1(x + -3) = 3(x + 1) + -4(1 + -1x) Reorder the terms: 4 + -1(-3 + x) = 3(x + 1) + -4(1 + -1x) 4 + (-3 * -1 + x * -1) = 3(x + 1) + -4(1 + -1x) 4 + (3 + -1x) = 3(x + 1) + -4(1 + -1x) Combine like terms: 4 + 3 = 7 7 + -1x = 3(x + 1) + -4(1 + -1x) Reorder the terms: 7 + -1x = 3(1 + x) + -4(1 + -1x) 7 + -1x = (1 * 3 + x * 3) + -4(1 + -1x) 7 + -1x = (3 + 3x) + -4(1 + -1x) 7 + -1x = 3 + 3x + (1 * -4 + -1x * -4) 7 + -1x = 3 + 3x + (-4 + 4x) Reorder the terms: 7 + -1x = 3 + -4 + 3x + 4x Combine like terms: 3 + -4 = -1 7 + -1x = -1 + 3x + 4x Combine like terms: 3x + 4x = 7x 7 + -1x = -1 + 7x Solving 7 + -1x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -1x + -7x = -1 + 7x + -7x Combine like terms: -1x + -7x = -8x 7 + -8x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -8x = -1 + 0 7 + -8x = -1 Add '-7' to each side of the equation. 7 + -7 + -8x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -1 + -7 -8x = -1 + -7 Combine like terms: -1 + -7 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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