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Simplifying 7(x + -6) + 6 = 4(x + -6) Reorder the terms: 7(-6 + x) + 6 = 4(x + -6) (-6 * 7 + x * 7) + 6 = 4(x + -6) (-42 + 7x) + 6 = 4(x + -6) Reorder the terms: -42 + 6 + 7x = 4(x + -6) Combine like terms: -42 + 6 = -36 -36 + 7x = 4(x + -6) Reorder the terms: -36 + 7x = 4(-6 + x) -36 + 7x = (-6 * 4 + x * 4) -36 + 7x = (-24 + 4x) Solving -36 + 7x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 7x + -4x = -24 + 4x + -4x Combine like terms: 7x + -4x = 3x -36 + 3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 3x = -24 + 0 -36 + 3x = -24 Add '36' to each side of the equation. -36 + 36 + 3x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = -24 + 36 3x = -24 + 36 Combine like terms: -24 + 36 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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