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Simplifying 5x * 6 = 4(x + 1) * 6 * 2 Reorder the terms for easier multiplication: 5 * 6x = 4(x + 1) * 6 * 2 Multiply 5 * 6 30x = 4(x + 1) * 6 * 2 Reorder the terms: 30x = 4(1 + x) * 6 * 2 Reorder the terms for easier multiplication: 30x = 4 * 6 * 2(1 + x) Multiply 4 * 6 30x = 24 * 2(1 + x) Multiply 24 * 2 30x = 48(1 + x) 30x = (1 * 48 + x * 48) 30x = (48 + 48x) Solving 30x = 48 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 30x + -48x = 48 + 48x + -48x Combine like terms: 30x + -48x = -18x -18x = 48 + 48x + -48x Combine like terms: 48x + -48x = 0 -18x = 48 + 0 -18x = 48 Divide each side by '-18'. x = -2.666666667 Simplifying x = -2.666666667
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