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Simplifying 4(3x + -6) + 12 = 4(x + 7) Reorder the terms: 4(-6 + 3x) + 12 = 4(x + 7) (-6 * 4 + 3x * 4) + 12 = 4(x + 7) (-24 + 12x) + 12 = 4(x + 7) Reorder the terms: -24 + 12 + 12x = 4(x + 7) Combine like terms: -24 + 12 = -12 -12 + 12x = 4(x + 7) Reorder the terms: -12 + 12x = 4(7 + x) -12 + 12x = (7 * 4 + x * 4) -12 + 12x = (28 + 4x) Solving -12 + 12x = 28 + 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. -12 + 12x + -4x = 28 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = 28 + 0 -12 + 8x = 28 Add '12' to each side of the equation. -12 + 12 + 8x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 28 + 12 8x = 28 + 12 Combine like terms: 28 + 12 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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