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Simplifying 5(2x + -3) + 2x = 3x + -7 + -8x Reorder the terms: 5(-3 + 2x) + 2x = 3x + -7 + -8x (-3 * 5 + 2x * 5) + 2x = 3x + -7 + -8x (-15 + 10x) + 2x = 3x + -7 + -8x Combine like terms: 10x + 2x = 12x -15 + 12x = 3x + -7 + -8x Reorder the terms: -15 + 12x = -7 + 3x + -8x Combine like terms: 3x + -8x = -5x -15 + 12x = -7 + -5x Solving -15 + 12x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + 12x + 5x = -7 + -5x + 5x Combine like terms: 12x + 5x = 17x -15 + 17x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 17x = -7 + 0 -15 + 17x = -7 Add '15' to each side of the equation. -15 + 15 + 17x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 17x = -7 + 15 17x = -7 + 15 Combine like terms: -7 + 15 = 8 17x = 8 Divide each side by '17'. x = 0.4705882353 Simplifying x = 0.4705882353
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