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Simplifying 3(2x + -5) + 2(2 + -5x) = x + 14 Reorder the terms: 3(-5 + 2x) + 2(2 + -5x) = x + 14 (-5 * 3 + 2x * 3) + 2(2 + -5x) = x + 14 (-15 + 6x) + 2(2 + -5x) = x + 14 -15 + 6x + (2 * 2 + -5x * 2) = x + 14 -15 + 6x + (4 + -10x) = x + 14 Reorder the terms: -15 + 4 + 6x + -10x = x + 14 Combine like terms: -15 + 4 = -11 -11 + 6x + -10x = x + 14 Combine like terms: 6x + -10x = -4x -11 + -4x = x + 14 Reorder the terms: -11 + -4x = 14 + x Solving -11 + -4x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + -4x + -1x = 14 + x + -1x Combine like terms: -4x + -1x = -5x -11 + -5x = 14 + x + -1x Combine like terms: x + -1x = 0 -11 + -5x = 14 + 0 -11 + -5x = 14 Add '11' to each side of the equation. -11 + 11 + -5x = 14 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 14 + 11 -5x = 14 + 11 Combine like terms: 14 + 11 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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