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Simplifying 4(x + 2) = 6(x + -6) + -4 Reorder the terms: 4(2 + x) = 6(x + -6) + -4 (2 * 4 + x * 4) = 6(x + -6) + -4 (8 + 4x) = 6(x + -6) + -4 Reorder the terms: 8 + 4x = 6(-6 + x) + -4 8 + 4x = (-6 * 6 + x * 6) + -4 8 + 4x = (-36 + 6x) + -4 Reorder the terms: 8 + 4x = -36 + -4 + 6x Combine like terms: -36 + -4 = -40 8 + 4x = -40 + 6x Solving 8 + 4x = -40 + 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. 8 + 4x + -6x = -40 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -40 + 0 8 + -2x = -40 Add '-8' to each side of the equation. 8 + -8 + -2x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -40 + -8 -2x = -40 + -8 Combine like terms: -40 + -8 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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