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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 Reorder the terms for easier multiplication: 8 + 14x = 4x + -6 * 7(2 + -1x) Multiply -6 * 7 8 + 14x = 4x + -42(2 + -1x) 8 + 14x = 4x + (2 * -42 + -1x * -42) 8 + 14x = 4x + (-84 + 42x) Reorder the terms: 8 + 14x = -84 + 4x + 42x Combine like terms: 4x + 42x = 46x 8 + 14x = -84 + 46x Solving 8 + 14x = -84 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 8 + 14x + -46x = -84 + 46x + -46x Combine like terms: 14x + -46x = -32x 8 + -32x = -84 + 46x + -46x Combine like terms: 46x + -46x = 0 8 + -32x = -84 + 0 8 + -32x = -84 Add '-8' to each side of the equation. 8 + -8 + -32x = -84 + -8 Combine like terms: 8 + -8 = 0 0 + -32x = -84 + -8 -32x = -84 + -8 Combine like terms: -84 + -8 = -92 -32x = -92 Divide each side by '-32'. x = 2.875 Simplifying x = 2.875
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