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Simplifying 7(x + -4) = 6 + -2(x + 3) Reorder the terms: 7(-4 + x) = 6 + -2(x + 3) (-4 * 7 + x * 7) = 6 + -2(x + 3) (-28 + 7x) = 6 + -2(x + 3) Reorder the terms: -28 + 7x = 6 + -2(3 + x) -28 + 7x = 6 + (3 * -2 + x * -2) -28 + 7x = 6 + (-6 + -2x) Combine like terms: 6 + -6 = 0 -28 + 7x = 0 + -2x -28 + 7x = -2x Solving -28 + 7x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + 7x + 2x = -2x + 2x Combine like terms: 7x + 2x = 9x -28 + 9x = -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 9x = 0 Add '28' to each side of the equation. -28 + 28 + 9x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = 0 + 28 9x = 0 + 28 Combine like terms: 0 + 28 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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