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Simplifying 9 + -10x = -4(2x + -7) + 3(5x + -7) Reorder the terms: 9 + -10x = -4(-7 + 2x) + 3(5x + -7) 9 + -10x = (-7 * -4 + 2x * -4) + 3(5x + -7) 9 + -10x = (28 + -8x) + 3(5x + -7) Reorder the terms: 9 + -10x = 28 + -8x + 3(-7 + 5x) 9 + -10x = 28 + -8x + (-7 * 3 + 5x * 3) 9 + -10x = 28 + -8x + (-21 + 15x) Reorder the terms: 9 + -10x = 28 + -21 + -8x + 15x Combine like terms: 28 + -21 = 7 9 + -10x = 7 + -8x + 15x Combine like terms: -8x + 15x = 7x 9 + -10x = 7 + 7x Solving 9 + -10x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + -10x + -7x = 7 + 7x + -7x Combine like terms: -10x + -7x = -17x 9 + -17x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -17x = 7 + 0 9 + -17x = 7 Add '-9' to each side of the equation. 9 + -9 + -17x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -17x = 7 + -9 -17x = 7 + -9 Combine like terms: 7 + -9 = -2 -17x = -2 Divide each side by '-17'. x = 0.1176470588 Simplifying x = 0.1176470588
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