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Simplifying 7(x + -6) = 4x + -1(3x + 6) Reorder the terms: 7(-6 + x) = 4x + -1(3x + 6) (-6 * 7 + x * 7) = 4x + -1(3x + 6) (-42 + 7x) = 4x + -1(3x + 6) Reorder the terms: -42 + 7x = 4x + -1(6 + 3x) -42 + 7x = 4x + (6 * -1 + 3x * -1) -42 + 7x = 4x + (-6 + -3x) Reorder the terms: -42 + 7x = -6 + 4x + -3x Combine like terms: 4x + -3x = 1x -42 + 7x = -6 + 1x Solving -42 + 7x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 7x + -1x = -6 + 1x + -1x Combine like terms: 7x + -1x = 6x -42 + 6x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -42 + 6x = -6 + 0 -42 + 6x = -6 Add '42' to each side of the equation. -42 + 42 + 6x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -6 + 42 6x = -6 + 42 Combine like terms: -6 + 42 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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