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Simplifying (3x + -4) * 2 = (-2x + 9) * 2 Reorder the terms: (-4 + 3x) * 2 = (-2x + 9) * 2 Reorder the terms for easier multiplication: 2(-4 + 3x) = (-2x + 9) * 2 (-4 * 2 + 3x * 2) = (-2x + 9) * 2 (-8 + 6x) = (-2x + 9) * 2 Reorder the terms: -8 + 6x = (9 + -2x) * 2 Reorder the terms for easier multiplication: -8 + 6x = 2(9 + -2x) -8 + 6x = (9 * 2 + -2x * 2) -8 + 6x = (18 + -4x) Solving -8 + 6x = 18 + -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. -8 + 6x + 4x = 18 + -4x + 4x Combine like terms: 6x + 4x = 10x -8 + 10x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 10x = 18 + 0 -8 + 10x = 18 Add '8' to each side of the equation. -8 + 8 + 10x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 18 + 8 10x = 18 + 8 Combine like terms: 18 + 8 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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