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Simplifying 4(x + -6) + 4 = 6(x + 2) + -4 Reorder the terms: 4(-6 + x) + 4 = 6(x + 2) + -4 (-6 * 4 + x * 4) + 4 = 6(x + 2) + -4 (-24 + 4x) + 4 = 6(x + 2) + -4 Reorder the terms: -24 + 4 + 4x = 6(x + 2) + -4 Combine like terms: -24 + 4 = -20 -20 + 4x = 6(x + 2) + -4 Reorder the terms: -20 + 4x = 6(2 + x) + -4 -20 + 4x = (2 * 6 + x * 6) + -4 -20 + 4x = (12 + 6x) + -4 Reorder the terms: -20 + 4x = 12 + -4 + 6x Combine like terms: 12 + -4 = 8 -20 + 4x = 8 + 6x Solving -20 + 4x = 8 + 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. -20 + 4x + -6x = 8 + 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = 8 + 0 -20 + -2x = 8 Add '20' to each side of the equation. -20 + 20 + -2x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 8 + 20 -2x = 8 + 20 Combine like terms: 8 + 20 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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