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Simplifying 5(x + -2) + 8 = 6(x + -4) Reorder the terms: 5(-2 + x) + 8 = 6(x + -4) (-2 * 5 + x * 5) + 8 = 6(x + -4) (-10 + 5x) + 8 = 6(x + -4) Reorder the terms: -10 + 8 + 5x = 6(x + -4) Combine like terms: -10 + 8 = -2 -2 + 5x = 6(x + -4) Reorder the terms: -2 + 5x = 6(-4 + x) -2 + 5x = (-4 * 6 + x * 6) -2 + 5x = (-24 + 6x) Solving -2 + 5x = -24 + 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. -2 + 5x + -6x = -24 + 6x + -6x Combine like terms: 5x + -6x = -1x -2 + -1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -1x = -24 + 0 -2 + -1x = -24 Add '2' to each side of the equation. -2 + 2 + -1x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -24 + 2 -1x = -24 + 2 Combine like terms: -24 + 2 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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