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Simplifying 2(x + -3) + -5x = 2x + 3(1 + -2x) Reorder the terms: 2(-3 + x) + -5x = 2x + 3(1 + -2x) (-3 * 2 + x * 2) + -5x = 2x + 3(1 + -2x) (-6 + 2x) + -5x = 2x + 3(1 + -2x) Combine like terms: 2x + -5x = -3x -6 + -3x = 2x + 3(1 + -2x) -6 + -3x = 2x + (1 * 3 + -2x * 3) -6 + -3x = 2x + (3 + -6x) Reorder the terms: -6 + -3x = 3 + 2x + -6x Combine like terms: 2x + -6x = -4x -6 + -3x = 3 + -4x Solving -6 + -3x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -3x + 4x = 3 + -4x + 4x Combine like terms: -3x + 4x = 1x -6 + 1x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 1x = 3 + 0 -6 + 1x = 3 Add '6' to each side of the equation. -6 + 6 + 1x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 3 + 6 1x = 3 + 6 Combine like terms: 3 + 6 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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