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Simplifying 8(x + -6) + 2(30 + -3x) + -1x = 78 Reorder the terms: 8(-6 + x) + 2(30 + -3x) + -1x = 78 (-6 * 8 + x * 8) + 2(30 + -3x) + -1x = 78 (-48 + 8x) + 2(30 + -3x) + -1x = 78 -48 + 8x + (30 * 2 + -3x * 2) + -1x = 78 -48 + 8x + (60 + -6x) + -1x = 78 Reorder the terms: -48 + 60 + 8x + -6x + -1x = 78 Combine like terms: -48 + 60 = 12 12 + 8x + -6x + -1x = 78 Combine like terms: 8x + -6x = 2x 12 + 2x + -1x = 78 Combine like terms: 2x + -1x = 1x 12 + 1x = 78 Solving 12 + 1x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 78 + -12 1x = 78 + -12 Combine like terms: 78 + -12 = 66 1x = 66 Divide each side by '1'. x = 66 Simplifying x = 66
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