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Simplifying 5 + -2(x + 3) = 2x + -1(4 + 3x) Reorder the terms: 5 + -2(3 + x) = 2x + -1(4 + 3x) 5 + (3 * -2 + x * -2) = 2x + -1(4 + 3x) 5 + (-6 + -2x) = 2x + -1(4 + 3x) Combine like terms: 5 + -6 = -1 -1 + -2x = 2x + -1(4 + 3x) -1 + -2x = 2x + (4 * -1 + 3x * -1) -1 + -2x = 2x + (-4 + -3x) Reorder the terms: -1 + -2x = -4 + 2x + -3x Combine like terms: 2x + -3x = -1x -1 + -2x = -4 + -1x Solving -1 + -2x = -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. -1 + -2x + x = -4 + -1x + x Combine like terms: -2x + x = -1x -1 + -1x = -4 + -1x + x Combine like terms: -1x + x = 0 -1 + -1x = -4 + 0 -1 + -1x = -4 Add '1' to each side of the equation. -1 + 1 + -1x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -4 + 1 -1x = -4 + 1 Combine like terms: -4 + 1 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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