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Simplifying 4(2x + -3) = 3(5x + 1) + 2 Reorder the terms: 4(-3 + 2x) = 3(5x + 1) + 2 (-3 * 4 + 2x * 4) = 3(5x + 1) + 2 (-12 + 8x) = 3(5x + 1) + 2 Reorder the terms: -12 + 8x = 3(1 + 5x) + 2 -12 + 8x = (1 * 3 + 5x * 3) + 2 -12 + 8x = (3 + 15x) + 2 Reorder the terms: -12 + 8x = 3 + 2 + 15x Combine like terms: 3 + 2 = 5 -12 + 8x = 5 + 15x Solving -12 + 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. -12 + 8x + -15x = 5 + 15x + -15x Combine like terms: 8x + -15x = -7x -12 + -7x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -7x = 5 + 0 -12 + -7x = 5 Add '12' to each side of the equation. -12 + 12 + -7x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 5 + 12 -7x = 5 + 12 Combine like terms: 5 + 12 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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