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Simplifying -3x + 6 + -5 = -5x + -1(2x + -4) + 5 Reorder the terms: 6 + -5 + -3x = -5x + -1(2x + -4) + 5 Combine like terms: 6 + -5 = 1 1 + -3x = -5x + -1(2x + -4) + 5 Reorder the terms: 1 + -3x = -5x + -1(-4 + 2x) + 5 1 + -3x = -5x + (-4 * -1 + 2x * -1) + 5 1 + -3x = -5x + (4 + -2x) + 5 Reorder the terms: 1 + -3x = 4 + 5 + -5x + -2x Combine like terms: 4 + 5 = 9 1 + -3x = 9 + -5x + -2x Combine like terms: -5x + -2x = -7x 1 + -3x = 9 + -7x Solving 1 + -3x = 9 + -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. 1 + -3x + 7x = 9 + -7x + 7x Combine like terms: -3x + 7x = 4x 1 + 4x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 4x = 9 + 0 1 + 4x = 9 Add '-1' to each side of the equation. 1 + -1 + 4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 9 + -1 4x = 9 + -1 Combine like terms: 9 + -1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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