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Simplifying 5(2x + -9) + -2x + -17 = 6(x + 9) Reorder the terms: 5(-9 + 2x) + -2x + -17 = 6(x + 9) (-9 * 5 + 2x * 5) + -2x + -17 = 6(x + 9) (-45 + 10x) + -2x + -17 = 6(x + 9) Reorder the terms: -45 + -17 + 10x + -2x = 6(x + 9) Combine like terms: -45 + -17 = -62 -62 + 10x + -2x = 6(x + 9) Combine like terms: 10x + -2x = 8x -62 + 8x = 6(x + 9) Reorder the terms: -62 + 8x = 6(9 + x) -62 + 8x = (9 * 6 + x * 6) -62 + 8x = (54 + 6x) Solving -62 + 8x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -62 + 8x + -6x = 54 + 6x + -6x Combine like terms: 8x + -6x = 2x -62 + 2x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -62 + 2x = 54 + 0 -62 + 2x = 54 Add '62' to each side of the equation. -62 + 62 + 2x = 54 + 62 Combine like terms: -62 + 62 = 0 0 + 2x = 54 + 62 2x = 54 + 62 Combine like terms: 54 + 62 = 116 2x = 116 Divide each side by '2'. x = 58 Simplifying x = 58
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