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Simplifying 6(5 + -1x) + -3(x + -4) = 6 (5 * 6 + -1x * 6) + -3(x + -4) = 6 (30 + -6x) + -3(x + -4) = 6 Reorder the terms: 30 + -6x + -3(-4 + x) = 6 30 + -6x + (-4 * -3 + x * -3) = 6 30 + -6x + (12 + -3x) = 6 Reorder the terms: 30 + 12 + -6x + -3x = 6 Combine like terms: 30 + 12 = 42 42 + -6x + -3x = 6 Combine like terms: -6x + -3x = -9x 42 + -9x = 6 Solving 42 + -9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -9x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = 6 + -42 -9x = 6 + -42 Combine like terms: 6 + -42 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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