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Simplifying 4(x + 1) + 3(x + -1) = 6(x + 6) + -6x Reorder the terms: 4(1 + x) + 3(x + -1) = 6(x + 6) + -6x (1 * 4 + x * 4) + 3(x + -1) = 6(x + 6) + -6x (4 + 4x) + 3(x + -1) = 6(x + 6) + -6x Reorder the terms: 4 + 4x + 3(-1 + x) = 6(x + 6) + -6x 4 + 4x + (-1 * 3 + x * 3) = 6(x + 6) + -6x 4 + 4x + (-3 + 3x) = 6(x + 6) + -6x Reorder the terms: 4 + -3 + 4x + 3x = 6(x + 6) + -6x Combine like terms: 4 + -3 = 1 1 + 4x + 3x = 6(x + 6) + -6x Combine like terms: 4x + 3x = 7x 1 + 7x = 6(x + 6) + -6x Reorder the terms: 1 + 7x = 6(6 + x) + -6x 1 + 7x = (6 * 6 + x * 6) + -6x 1 + 7x = (36 + 6x) + -6x Combine like terms: 6x + -6x = 0 1 + 7x = 36 + 0 1 + 7x = 36 Solving 1 + 7x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 36 + -1 7x = 36 + -1 Combine like terms: 36 + -1 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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