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Simplifying 2(7x + 14) = 4x + -6(12 + -1x) + 7 Reorder the terms: 2(14 + 7x) = 4x + -6(12 + -1x) + 7 (14 * 2 + 7x * 2) = 4x + -6(12 + -1x) + 7 (28 + 14x) = 4x + -6(12 + -1x) + 7 28 + 14x = 4x + (12 * -6 + -1x * -6) + 7 28 + 14x = 4x + (-72 + 6x) + 7 Reorder the terms: 28 + 14x = -72 + 7 + 4x + 6x Combine like terms: -72 + 7 = -65 28 + 14x = -65 + 4x + 6x Combine like terms: 4x + 6x = 10x 28 + 14x = -65 + 10x Solving 28 + 14x = -65 + 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. 28 + 14x + -10x = -65 + 10x + -10x Combine like terms: 14x + -10x = 4x 28 + 4x = -65 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + 4x = -65 + 0 28 + 4x = -65 Add '-28' to each side of the equation. 28 + -28 + 4x = -65 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = -65 + -28 4x = -65 + -28 Combine like terms: -65 + -28 = -93 4x = -93 Divide each side by '4'. x = -23.25 Simplifying x = -23.25
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