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Simplifying 7x + 2(x + -3) = 6(x + 1) + -4 Reorder the terms: 7x + 2(-3 + x) = 6(x + 1) + -4 7x + (-3 * 2 + x * 2) = 6(x + 1) + -4 7x + (-6 + 2x) = 6(x + 1) + -4 Reorder the terms: -6 + 7x + 2x = 6(x + 1) + -4 Combine like terms: 7x + 2x = 9x -6 + 9x = 6(x + 1) + -4 Reorder the terms: -6 + 9x = 6(1 + x) + -4 -6 + 9x = (1 * 6 + x * 6) + -4 -6 + 9x = (6 + 6x) + -4 Reorder the terms: -6 + 9x = 6 + -4 + 6x Combine like terms: 6 + -4 = 2 -6 + 9x = 2 + 6x Solving -6 + 9x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 9x + -6x = 2 + 6x + -6x Combine like terms: 9x + -6x = 3x -6 + 3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 3x = 2 + 0 -6 + 3x = 2 Add '6' to each side of the equation. -6 + 6 + 3x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 2 + 6 3x = 2 + 6 Combine like terms: 2 + 6 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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