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Simplifying 4(x + 7) = 12x + -8 Reorder the terms: 4(7 + x) = 12x + -8 (7 * 4 + x * 4) = 12x + -8 (28 + 4x) = 12x + -8 Reorder the terms: 28 + 4x = -8 + 12x Solving 28 + 4x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 28 + 4x + -12x = -8 + 12x + -12x Combine like terms: 4x + -12x = -8x 28 + -8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -8x = -8 + 0 28 + -8x = -8 Add '-28' to each side of the equation. 28 + -28 + -8x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = -8 + -28 -8x = -8 + -28 Combine like terms: -8 + -28 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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