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Simplifying 7x + 4(-2x + 14) = 48 Reorder the terms: 7x + 4(14 + -2x) = 48 7x + (14 * 4 + -2x * 4) = 48 7x + (56 + -8x) = 48 Reorder the terms: 56 + 7x + -8x = 48 Combine like terms: 7x + -8x = -1x 56 + -1x = 48 Solving 56 + -1x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -1x = 48 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = 48 + -56 -1x = 48 + -56 Combine like terms: 48 + -56 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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