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Simplifying 2(3x + -2) + -5 = 6 + -2x Reorder the terms: 2(-2 + 3x) + -5 = 6 + -2x (-2 * 2 + 3x * 2) + -5 = 6 + -2x (-4 + 6x) + -5 = 6 + -2x Reorder the terms: -4 + -5 + 6x = 6 + -2x Combine like terms: -4 + -5 = -9 -9 + 6x = 6 + -2x Solving -9 + 6x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x -9 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 8x = 6 + 0 -9 + 8x = 6 Add '9' to each side of the equation. -9 + 9 + 8x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 6 + 9 8x = 6 + 9 Combine like terms: 6 + 9 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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