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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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