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Simplifying 8(x + -9) + 10 = 2(x + -8) Reorder the terms: 8(-9 + x) + 10 = 2(x + -8) (-9 * 8 + x * 8) + 10 = 2(x + -8) (-72 + 8x) + 10 = 2(x + -8) Reorder the terms: -72 + 10 + 8x = 2(x + -8) Combine like terms: -72 + 10 = -62 -62 + 8x = 2(x + -8) Reorder the terms: -62 + 8x = 2(-8 + x) -62 + 8x = (-8 * 2 + x * 2) -62 + 8x = (-16 + 2x) Solving -62 + 8x = -16 + 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. -62 + 8x + -2x = -16 + 2x + -2x Combine like terms: 8x + -2x = 6x -62 + 6x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -62 + 6x = -16 + 0 -62 + 6x = -16 Add '62' to each side of the equation. -62 + 62 + 6x = -16 + 62 Combine like terms: -62 + 62 = 0 0 + 6x = -16 + 62 6x = -16 + 62 Combine like terms: -16 + 62 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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