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Simplifying 7(x + -4) = 6(x + 3) Reorder the terms: 7(-4 + x) = 6(x + 3) (-4 * 7 + x * 7) = 6(x + 3) (-28 + 7x) = 6(x + 3) Reorder the terms: -28 + 7x = 6(3 + x) -28 + 7x = (3 * 6 + x * 6) -28 + 7x = (18 + 6x) Solving -28 + 7x = 18 + 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. -28 + 7x + -6x = 18 + 6x + -6x Combine like terms: 7x + -6x = 1x -28 + 1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 1x = 18 + 0 -28 + 1x = 18 Add '28' to each side of the equation. -28 + 28 + 1x = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 18 + 28 1x = 18 + 28 Combine like terms: 18 + 28 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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