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Simplifying 6(x + -18) + -8(x + 8) = 10 + -4(x + -6) Reorder the terms: 6(-18 + x) + -8(x + 8) = 10 + -4(x + -6) (-18 * 6 + x * 6) + -8(x + 8) = 10 + -4(x + -6) (-108 + 6x) + -8(x + 8) = 10 + -4(x + -6) Reorder the terms: -108 + 6x + -8(8 + x) = 10 + -4(x + -6) -108 + 6x + (8 * -8 + x * -8) = 10 + -4(x + -6) -108 + 6x + (-64 + -8x) = 10 + -4(x + -6) Reorder the terms: -108 + -64 + 6x + -8x = 10 + -4(x + -6) Combine like terms: -108 + -64 = -172 -172 + 6x + -8x = 10 + -4(x + -6) Combine like terms: 6x + -8x = -2x -172 + -2x = 10 + -4(x + -6) Reorder the terms: -172 + -2x = 10 + -4(-6 + x) -172 + -2x = 10 + (-6 * -4 + x * -4) -172 + -2x = 10 + (24 + -4x) Combine like terms: 10 + 24 = 34 -172 + -2x = 34 + -4x Solving -172 + -2x = 34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -172 + -2x + 4x = 34 + -4x + 4x Combine like terms: -2x + 4x = 2x -172 + 2x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -172 + 2x = 34 + 0 -172 + 2x = 34 Add '172' to each side of the equation. -172 + 172 + 2x = 34 + 172 Combine like terms: -172 + 172 = 0 0 + 2x = 34 + 172 2x = 34 + 172 Combine like terms: 34 + 172 = 206 2x = 206 Divide each side by '2'. x = 103 Simplifying x = 103
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