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Simplifying 4(5 + -1x) + -2(x + -3) + -6(2x + -1) = 4 (5 * 4 + -1x * 4) + -2(x + -3) + -6(2x + -1) = 4 (20 + -4x) + -2(x + -3) + -6(2x + -1) = 4 Reorder the terms: 20 + -4x + -2(-3 + x) + -6(2x + -1) = 4 20 + -4x + (-3 * -2 + x * -2) + -6(2x + -1) = 4 20 + -4x + (6 + -2x) + -6(2x + -1) = 4 Reorder the terms: 20 + -4x + 6 + -2x + -6(-1 + 2x) = 4 20 + -4x + 6 + -2x + (-1 * -6 + 2x * -6) = 4 20 + -4x + 6 + -2x + (6 + -12x) = 4 Reorder the terms: 20 + 6 + 6 + -4x + -2x + -12x = 4 Combine like terms: 20 + 6 = 26 26 + 6 + -4x + -2x + -12x = 4 Combine like terms: 26 + 6 = 32 32 + -4x + -2x + -12x = 4 Combine like terms: -4x + -2x = -6x 32 + -6x + -12x = 4 Combine like terms: -6x + -12x = -18x 32 + -18x = 4 Solving 32 + -18x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -18x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -18x = 4 + -32 -18x = 4 + -32 Combine like terms: 4 + -32 = -28 -18x = -28 Divide each side by '-18'. x = 1.555555556 Simplifying x = 1.555555556
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