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Simplifying 6(x + -4) = 7(x + 4) Reorder the terms: 6(-4 + x) = 7(x + 4) (-4 * 6 + x * 6) = 7(x + 4) (-24 + 6x) = 7(x + 4) Reorder the terms: -24 + 6x = 7(4 + x) -24 + 6x = (4 * 7 + x * 7) -24 + 6x = (28 + 7x) Solving -24 + 6x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 6x + -7x = 28 + 7x + -7x Combine like terms: 6x + -7x = -1x -24 + -1x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -1x = 28 + 0 -24 + -1x = 28 Add '24' to each side of the equation. -24 + 24 + -1x = 28 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 28 + 24 -1x = 28 + 24 Combine like terms: 28 + 24 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52
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