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Simplifying 4(2x + 1) = 5(3x + -1) Reorder the terms: 4(1 + 2x) = 5(3x + -1) (1 * 4 + 2x * 4) = 5(3x + -1) (4 + 8x) = 5(3x + -1) Reorder the terms: 4 + 8x = 5(-1 + 3x) 4 + 8x = (-1 * 5 + 3x * 5) 4 + 8x = (-5 + 15x) Solving 4 + 8x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + 8x + -15x = -5 + 15x + -15x Combine like terms: 8x + -15x = -7x 4 + -7x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -7x = -5 + 0 4 + -7x = -5 Add '-4' to each side of the equation. 4 + -4 + -7x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -5 + -4 -7x = -5 + -4 Combine like terms: -5 + -4 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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