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Simplifying 5x + 6 + -1(2x + 4) = 3x + 5 + -1(2x + -3) Reorder the terms: 5x + 6 + -1(4 + 2x) = 3x + 5 + -1(2x + -3) 5x + 6 + (4 * -1 + 2x * -1) = 3x + 5 + -1(2x + -3) 5x + 6 + (-4 + -2x) = 3x + 5 + -1(2x + -3) Reorder the terms: 6 + -4 + 5x + -2x = 3x + 5 + -1(2x + -3) Combine like terms: 6 + -4 = 2 2 + 5x + -2x = 3x + 5 + -1(2x + -3) Combine like terms: 5x + -2x = 3x 2 + 3x = 3x + 5 + -1(2x + -3) Reorder the terms: 2 + 3x = 3x + 5 + -1(-3 + 2x) 2 + 3x = 3x + 5 + (-3 * -1 + 2x * -1) 2 + 3x = 3x + 5 + (3 + -2x) Reorder the terms: 2 + 3x = 5 + 3 + 3x + -2x Combine like terms: 5 + 3 = 8 2 + 3x = 8 + 3x + -2x Combine like terms: 3x + -2x = 1x 2 + 3x = 8 + 1x Solving 2 + 3x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 3x + -1x = 8 + 1x + -1x Combine like terms: 3x + -1x = 2x 2 + 2x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 2x = 8 + 0 2 + 2x = 8 Add '-2' to each side of the equation. 2 + -2 + 2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 8 + -2 2x = 8 + -2 Combine like terms: 8 + -2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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