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Simplifying 4(1 + -1x) + -3(x + 2) = 4 + -1x (1 * 4 + -1x * 4) + -3(x + 2) = 4 + -1x (4 + -4x) + -3(x + 2) = 4 + -1x Reorder the terms: 4 + -4x + -3(2 + x) = 4 + -1x 4 + -4x + (2 * -3 + x * -3) = 4 + -1x 4 + -4x + (-6 + -3x) = 4 + -1x Reorder the terms: 4 + -6 + -4x + -3x = 4 + -1x Combine like terms: 4 + -6 = -2 -2 + -4x + -3x = 4 + -1x Combine like terms: -4x + -3x = -7x -2 + -7x = 4 + -1x Solving -2 + -7x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + -7x + x = 4 + -1x + x Combine like terms: -7x + x = -6x -2 + -6x = 4 + -1x + x Combine like terms: -1x + x = 0 -2 + -6x = 4 + 0 -2 + -6x = 4 Add '2' to each side of the equation. -2 + 2 + -6x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 4 + 2 -6x = 4 + 2 Combine like terms: 4 + 2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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