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Simplifying 6(x + -4) = 8(x + 3) + 4 Reorder the terms: 6(-4 + x) = 8(x + 3) + 4 (-4 * 6 + x * 6) = 8(x + 3) + 4 (-24 + 6x) = 8(x + 3) + 4 Reorder the terms: -24 + 6x = 8(3 + x) + 4 -24 + 6x = (3 * 8 + x * 8) + 4 -24 + 6x = (24 + 8x) + 4 Reorder the terms: -24 + 6x = 24 + 4 + 8x Combine like terms: 24 + 4 = 28 -24 + 6x = 28 + 8x Solving -24 + 6x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 6x + -8x = 28 + 8x + -8x Combine like terms: 6x + -8x = -2x -24 + -2x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -2x = 28 + 0 -24 + -2x = 28 Add '24' to each side of the equation. -24 + 24 + -2x = 28 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 28 + 24 -2x = 28 + 24 Combine like terms: 28 + 24 = 52 -2x = 52 Divide each side by '-2'. x = -26 Simplifying x = -26
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