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Simplifying 2(3x + -2) + -5x = -3x + 6 + 6x Reorder the terms: 2(-2 + 3x) + -5x = -3x + 6 + 6x (-2 * 2 + 3x * 2) + -5x = -3x + 6 + 6x (-4 + 6x) + -5x = -3x + 6 + 6x Combine like terms: 6x + -5x = 1x -4 + 1x = -3x + 6 + 6x Reorder the terms: -4 + 1x = 6 + -3x + 6x Combine like terms: -3x + 6x = 3x -4 + 1x = 6 + 3x Solving -4 + 1x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 1x + -3x = 6 + 3x + -3x Combine like terms: 1x + -3x = -2x -4 + -2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -2x = 6 + 0 -4 + -2x = 6 Add '4' to each side of the equation. -4 + 4 + -2x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 6 + 4 -2x = 6 + 4 Combine like terms: 6 + 4 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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