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Simplifying (4x + -6) * 2 = 6x + -5 Reorder the terms: (-6 + 4x) * 2 = 6x + -5 Reorder the terms for easier multiplication: 2(-6 + 4x) = 6x + -5 (-6 * 2 + 4x * 2) = 6x + -5 (-12 + 8x) = 6x + -5 Reorder the terms: -12 + 8x = -5 + 6x Solving -12 + 8x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 8x + -6x = -5 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = -5 + 0 -12 + 2x = -5 Add '12' to each side of the equation. -12 + 12 + 2x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -5 + 12 2x = -5 + 12 Combine like terms: -5 + 12 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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