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Simplifying 4 + -2(x + 3) = 3x + -4(1 + -1x) Reorder the terms: 4 + -2(3 + x) = 3x + -4(1 + -1x) 4 + (3 * -2 + x * -2) = 3x + -4(1 + -1x) 4 + (-6 + -2x) = 3x + -4(1 + -1x) Combine like terms: 4 + -6 = -2 -2 + -2x = 3x + -4(1 + -1x) -2 + -2x = 3x + (1 * -4 + -1x * -4) -2 + -2x = 3x + (-4 + 4x) Reorder the terms: -2 + -2x = -4 + 3x + 4x Combine like terms: 3x + 4x = 7x -2 + -2x = -4 + 7x Solving -2 + -2x = -4 + 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. -2 + -2x + -7x = -4 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = -4 + 0 -2 + -9x = -4 Add '2' to each side of the equation. -2 + 2 + -9x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -4 + 2 -9x = -4 + 2 Combine like terms: -4 + 2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222
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