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Simplifying -2(x + 5) + 4 = 6(x + 4) + 8 Reorder the terms: -2(5 + x) + 4 = 6(x + 4) + 8 (5 * -2 + x * -2) + 4 = 6(x + 4) + 8 (-10 + -2x) + 4 = 6(x + 4) + 8 Reorder the terms: -10 + 4 + -2x = 6(x + 4) + 8 Combine like terms: -10 + 4 = -6 -6 + -2x = 6(x + 4) + 8 Reorder the terms: -6 + -2x = 6(4 + x) + 8 -6 + -2x = (4 * 6 + x * 6) + 8 -6 + -2x = (24 + 6x) + 8 Reorder the terms: -6 + -2x = 24 + 8 + 6x Combine like terms: 24 + 8 = 32 -6 + -2x = 32 + 6x Solving -6 + -2x = 32 + 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. -6 + -2x + -6x = 32 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = 32 + 0 -6 + -8x = 32 Add '6' to each side of the equation. -6 + 6 + -8x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 32 + 6 -8x = 32 + 6 Combine like terms: 32 + 6 = 38 -8x = 38 Divide each side by '-8'. x = -4.75 Simplifying x = -4.75
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