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Simplifying 2(7x + 12) = 4x + -6(2 + -1x) + 7 Reorder the terms: 2(12 + 7x) = 4x + -6(2 + -1x) + 7 (12 * 2 + 7x * 2) = 4x + -6(2 + -1x) + 7 (24 + 14x) = 4x + -6(2 + -1x) + 7 24 + 14x = 4x + (2 * -6 + -1x * -6) + 7 24 + 14x = 4x + (-12 + 6x) + 7 Reorder the terms: 24 + 14x = -12 + 7 + 4x + 6x Combine like terms: -12 + 7 = -5 24 + 14x = -5 + 4x + 6x Combine like terms: 4x + 6x = 10x 24 + 14x = -5 + 10x Solving 24 + 14x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 14x + -10x = -5 + 10x + -10x Combine like terms: 14x + -10x = 4x 24 + 4x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 4x = -5 + 0 24 + 4x = -5 Add '-24' to each side of the equation. 24 + -24 + 4x = -5 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -5 + -24 4x = -5 + -24 Combine like terms: -5 + -24 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25
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