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Simplifying 7(x + -6) = (4 + -1x) * 3 Reorder the terms: 7(-6 + x) = (4 + -1x) * 3 (-6 * 7 + x * 7) = (4 + -1x) * 3 (-42 + 7x) = (4 + -1x) * 3 Reorder the terms for easier multiplication: -42 + 7x = 3(4 + -1x) -42 + 7x = (4 * 3 + -1x * 3) -42 + 7x = (12 + -3x) Solving -42 + 7x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -42 + 7x + 3x = 12 + -3x + 3x Combine like terms: 7x + 3x = 10x -42 + 10x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 10x = 12 + 0 -42 + 10x = 12 Add '42' to each side of the equation. -42 + 42 + 10x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 12 + 42 10x = 12 + 42 Combine like terms: 12 + 42 = 54 10x = 54 Divide each side by '10'. x = 5.4 Simplifying x = 5.4
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