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Simplifying 4x + -7 + 12 = 6(2x + 4) Reorder the terms: -7 + 12 + 4x = 6(2x + 4) Combine like terms: -7 + 12 = 5 5 + 4x = 6(2x + 4) Reorder the terms: 5 + 4x = 6(4 + 2x) 5 + 4x = (4 * 6 + 2x * 6) 5 + 4x = (24 + 12x) Solving 5 + 4x = 24 + 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. 5 + 4x + -12x = 24 + 12x + -12x Combine like terms: 4x + -12x = -8x 5 + -8x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -8x = 24 + 0 5 + -8x = 24 Add '-5' to each side of the equation. 5 + -5 + -8x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 24 + -5 -8x = 24 + -5 Combine like terms: 24 + -5 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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