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Simplifying 6(8x + -3) = 47x + -14 Reorder the terms: 6(-3 + 8x) = 47x + -14 (-3 * 6 + 8x * 6) = 47x + -14 (-18 + 48x) = 47x + -14 Reorder the terms: -18 + 48x = -14 + 47x Solving -18 + 48x = -14 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. -18 + 48x + -47x = -14 + 47x + -47x Combine like terms: 48x + -47x = 1x -18 + 1x = -14 + 47x + -47x Combine like terms: 47x + -47x = 0 -18 + 1x = -14 + 0 -18 + 1x = -14 Add '18' to each side of the equation. -18 + 18 + 1x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -14 + 18 1x = -14 + 18 Combine like terms: -14 + 18 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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