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Simplifying 2(3x + -5) + 2x = 15 + -4(5 + -1x) Reorder the terms: 2(-5 + 3x) + 2x = 15 + -4(5 + -1x) (-5 * 2 + 3x * 2) + 2x = 15 + -4(5 + -1x) (-10 + 6x) + 2x = 15 + -4(5 + -1x) Combine like terms: 6x + 2x = 8x -10 + 8x = 15 + -4(5 + -1x) -10 + 8x = 15 + (5 * -4 + -1x * -4) -10 + 8x = 15 + (-20 + 4x) Combine like terms: 15 + -20 = -5 -10 + 8x = -5 + 4x Solving -10 + 8x = -5 + 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. -10 + 8x + -4x = -5 + 4x + -4x Combine like terms: 8x + -4x = 4x -10 + 4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 4x = -5 + 0 -10 + 4x = -5 Add '10' to each side of the equation. -10 + 10 + 4x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -5 + 10 4x = -5 + 10 Combine like terms: -5 + 10 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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