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Simplifying 4(x + -6) + 8 = 6(x + 2) + -8 Reorder the terms: 4(-6 + x) + 8 = 6(x + 2) + -8 (-6 * 4 + x * 4) + 8 = 6(x + 2) + -8 (-24 + 4x) + 8 = 6(x + 2) + -8 Reorder the terms: -24 + 8 + 4x = 6(x + 2) + -8 Combine like terms: -24 + 8 = -16 -16 + 4x = 6(x + 2) + -8 Reorder the terms: -16 + 4x = 6(2 + x) + -8 -16 + 4x = (2 * 6 + x * 6) + -8 -16 + 4x = (12 + 6x) + -8 Reorder the terms: -16 + 4x = 12 + -8 + 6x Combine like terms: 12 + -8 = 4 -16 + 4x = 4 + 6x Solving -16 + 4x = 4 + 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. -16 + 4x + -6x = 4 + 6x + -6x Combine like terms: 4x + -6x = -2x -16 + -2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -2x = 4 + 0 -16 + -2x = 4 Add '16' to each side of the equation. -16 + 16 + -2x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 4 + 16 -2x = 4 + 16 Combine like terms: 4 + 16 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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