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Simplifying 6(x + -6) + 12 = 4(x + -4) Reorder the terms: 6(-6 + x) + 12 = 4(x + -4) (-6 * 6 + x * 6) + 12 = 4(x + -4) (-36 + 6x) + 12 = 4(x + -4) Reorder the terms: -36 + 12 + 6x = 4(x + -4) Combine like terms: -36 + 12 = -24 -24 + 6x = 4(x + -4) Reorder the terms: -24 + 6x = 4(-4 + x) -24 + 6x = (-4 * 4 + x * 4) -24 + 6x = (-16 + 4x) Solving -24 + 6x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x -24 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 2x = -16 + 0 -24 + 2x = -16 Add '24' to each side of the equation. -24 + 24 + 2x = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -16 + 24 2x = -16 + 24 Combine like terms: -16 + 24 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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