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Simplifying 3(6x + 12) = -7x + 3x + 8 Reorder the terms: 3(12 + 6x) = -7x + 3x + 8 (12 * 3 + 6x * 3) = -7x + 3x + 8 (36 + 18x) = -7x + 3x + 8 Reorder the terms: 36 + 18x = 8 + -7x + 3x Combine like terms: -7x + 3x = -4x 36 + 18x = 8 + -4x Solving 36 + 18x = 8 + -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. 36 + 18x + 4x = 8 + -4x + 4x Combine like terms: 18x + 4x = 22x 36 + 22x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 22x = 8 + 0 36 + 22x = 8 Add '-36' to each side of the equation. 36 + -36 + 22x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 22x = 8 + -36 22x = 8 + -36 Combine like terms: 8 + -36 = -28 22x = -28 Divide each side by '22'. x = -1.272727273 Simplifying x = -1.272727273
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