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Simplifying -4(-2x + 6) + 9(10 + -1x) = 0 Reorder the terms: -4(6 + -2x) + 9(10 + -1x) = 0 (6 * -4 + -2x * -4) + 9(10 + -1x) = 0 (-24 + 8x) + 9(10 + -1x) = 0 -24 + 8x + (10 * 9 + -1x * 9) = 0 -24 + 8x + (90 + -9x) = 0 Reorder the terms: -24 + 90 + 8x + -9x = 0 Combine like terms: -24 + 90 = 66 66 + 8x + -9x = 0 Combine like terms: 8x + -9x = -1x 66 + -1x = 0 Solving 66 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -1x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -1x = 0 + -66 -1x = 0 + -66 Combine like terms: 0 + -66 = -66 -1x = -66 Divide each side by '-1'. x = 66 Simplifying x = 66
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