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Simplifying 17x + -5x + 10 = 4(8x + -9) Reorder the terms: 10 + 17x + -5x = 4(8x + -9) Combine like terms: 17x + -5x = 12x 10 + 12x = 4(8x + -9) Reorder the terms: 10 + 12x = 4(-9 + 8x) 10 + 12x = (-9 * 4 + 8x * 4) 10 + 12x = (-36 + 32x) Solving 10 + 12x = -36 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 10 + 12x + -32x = -36 + 32x + -32x Combine like terms: 12x + -32x = -20x 10 + -20x = -36 + 32x + -32x Combine like terms: 32x + -32x = 0 10 + -20x = -36 + 0 10 + -20x = -36 Add '-10' to each side of the equation. 10 + -10 + -20x = -36 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = -36 + -10 -20x = -36 + -10 Combine like terms: -36 + -10 = -46 -20x = -46 Divide each side by '-20'. x = 2.3 Simplifying x = 2.3
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