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Simplifying 8(x + -70) + -6(x + 70) = 40 + -8(x + -70) Reorder the terms: 8(-70 + x) + -6(x + 70) = 40 + -8(x + -70) (-70 * 8 + x * 8) + -6(x + 70) = 40 + -8(x + -70) (-560 + 8x) + -6(x + 70) = 40 + -8(x + -70) Reorder the terms: -560 + 8x + -6(70 + x) = 40 + -8(x + -70) -560 + 8x + (70 * -6 + x * -6) = 40 + -8(x + -70) -560 + 8x + (-420 + -6x) = 40 + -8(x + -70) Reorder the terms: -560 + -420 + 8x + -6x = 40 + -8(x + -70) Combine like terms: -560 + -420 = -980 -980 + 8x + -6x = 40 + -8(x + -70) Combine like terms: 8x + -6x = 2x -980 + 2x = 40 + -8(x + -70) Reorder the terms: -980 + 2x = 40 + -8(-70 + x) -980 + 2x = 40 + (-70 * -8 + x * -8) -980 + 2x = 40 + (560 + -8x) Combine like terms: 40 + 560 = 600 -980 + 2x = 600 + -8x Solving -980 + 2x = 600 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -980 + 2x + 8x = 600 + -8x + 8x Combine like terms: 2x + 8x = 10x -980 + 10x = 600 + -8x + 8x Combine like terms: -8x + 8x = 0 -980 + 10x = 600 + 0 -980 + 10x = 600 Add '980' to each side of the equation. -980 + 980 + 10x = 600 + 980 Combine like terms: -980 + 980 = 0 0 + 10x = 600 + 980 10x = 600 + 980 Combine like terms: 600 + 980 = 1580 10x = 1580 Divide each side by '10'. x = 158 Simplifying x = 158
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