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Simplifying 17 + -4(2x + -7) = 15x + -3(2x + -3) Reorder the terms: 17 + -4(-7 + 2x) = 15x + -3(2x + -3) 17 + (-7 * -4 + 2x * -4) = 15x + -3(2x + -3) 17 + (28 + -8x) = 15x + -3(2x + -3) Combine like terms: 17 + 28 = 45 45 + -8x = 15x + -3(2x + -3) Reorder the terms: 45 + -8x = 15x + -3(-3 + 2x) 45 + -8x = 15x + (-3 * -3 + 2x * -3) 45 + -8x = 15x + (9 + -6x) Reorder the terms: 45 + -8x = 9 + 15x + -6x Combine like terms: 15x + -6x = 9x 45 + -8x = 9 + 9x Solving 45 + -8x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + -8x + -9x = 9 + 9x + -9x Combine like terms: -8x + -9x = -17x 45 + -17x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -17x = 9 + 0 45 + -17x = 9 Add '-45' to each side of the equation. 45 + -45 + -17x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -17x = 9 + -45 -17x = 9 + -45 Combine like terms: 9 + -45 = -36 -17x = -36 Divide each side by '-17'. x = 2.117647059 Simplifying x = 2.117647059
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