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Simplifying 7(4x + -6) = 6(8 + -3x) Reorder the terms: 7(-6 + 4x) = 6(8 + -3x) (-6 * 7 + 4x * 7) = 6(8 + -3x) (-42 + 28x) = 6(8 + -3x) -42 + 28x = (8 * 6 + -3x * 6) -42 + 28x = (48 + -18x) Solving -42 + 28x = 48 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -42 + 28x + 18x = 48 + -18x + 18x Combine like terms: 28x + 18x = 46x -42 + 46x = 48 + -18x + 18x Combine like terms: -18x + 18x = 0 -42 + 46x = 48 + 0 -42 + 46x = 48 Add '42' to each side of the equation. -42 + 42 + 46x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + 46x = 48 + 42 46x = 48 + 42 Combine like terms: 48 + 42 = 90 46x = 90 Divide each side by '46'. x = 1.956521739 Simplifying x = 1.956521739
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