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Simplifying 2(7x + 4) = 4x + 6(2 + -1x) + 7 Reorder the terms: 2(4 + 7x) = 4x + 6(2 + -1x) + 7 (4 * 2 + 7x * 2) = 4x + 6(2 + -1x) + 7 (8 + 14x) = 4x + 6(2 + -1x) + 7 8 + 14x = 4x + (2 * 6 + -1x * 6) + 7 8 + 14x = 4x + (12 + -6x) + 7 Reorder the terms: 8 + 14x = 12 + 7 + 4x + -6x Combine like terms: 12 + 7 = 19 8 + 14x = 19 + 4x + -6x Combine like terms: 4x + -6x = -2x 8 + 14x = 19 + -2x Solving 8 + 14x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 14x + 2x = 19 + -2x + 2x Combine like terms: 14x + 2x = 16x 8 + 16x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 16x = 19 + 0 8 + 16x = 19 Add '-8' to each side of the equation. 8 + -8 + 16x = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 19 + -8 16x = 19 + -8 Combine like terms: 19 + -8 = 11 16x = 11 Divide each side by '16'. x = 0.6875 Simplifying x = 0.6875
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