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Simplifying 2(4x + -1) + -1(-3 + -1x) = 2(x + -6) + 76 Reorder the terms: 2(-1 + 4x) + -1(-3 + -1x) = 2(x + -6) + 76 (-1 * 2 + 4x * 2) + -1(-3 + -1x) = 2(x + -6) + 76 (-2 + 8x) + -1(-3 + -1x) = 2(x + -6) + 76 -2 + 8x + (-3 * -1 + -1x * -1) = 2(x + -6) + 76 -2 + 8x + (3 + 1x) = 2(x + -6) + 76 Reorder the terms: -2 + 3 + 8x + 1x = 2(x + -6) + 76 Combine like terms: -2 + 3 = 1 1 + 8x + 1x = 2(x + -6) + 76 Combine like terms: 8x + 1x = 9x 1 + 9x = 2(x + -6) + 76 Reorder the terms: 1 + 9x = 2(-6 + x) + 76 1 + 9x = (-6 * 2 + x * 2) + 76 1 + 9x = (-12 + 2x) + 76 Reorder the terms: 1 + 9x = -12 + 76 + 2x Combine like terms: -12 + 76 = 64 1 + 9x = 64 + 2x Solving 1 + 9x = 64 + 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. 1 + 9x + -2x = 64 + 2x + -2x Combine like terms: 9x + -2x = 7x 1 + 7x = 64 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 7x = 64 + 0 1 + 7x = 64 Add '-1' to each side of the equation. 1 + -1 + 7x = 64 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 64 + -1 7x = 64 + -1 Combine like terms: 64 + -1 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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