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Simplifying 17 + -4(2x + -7) + y = -9 + 2x Reorder the terms: 17 + -4(-7 + 2x) + y = -9 + 2x 17 + (-7 * -4 + 2x * -4) + y = -9 + 2x 17 + (28 + -8x) + y = -9 + 2x Combine like terms: 17 + 28 = 45 45 + -8x + y = -9 + 2x Solving 45 + -8x + y = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + -8x + -2x + y = -9 + 2x + -2x Combine like terms: -8x + -2x = -10x 45 + -10x + y = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -10x + y = -9 + 0 45 + -10x + y = -9 Add '-45' to each side of the equation. 45 + -10x + -45 + y = -9 + -45 Reorder the terms: 45 + -45 + -10x + y = -9 + -45 Combine like terms: 45 + -45 = 0 0 + -10x + y = -9 + -45 -10x + y = -9 + -45 Combine like terms: -9 + -45 = -54 -10x + y = -54 Add '-1y' to each side of the equation. -10x + y + -1y = -54 + -1y Combine like terms: y + -1y = 0 -10x + 0 = -54 + -1y -10x = -54 + -1y Divide each side by '-10'. x = 5.4 + 0.1y Simplifying x = 5.4 + 0.1y
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