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Simplifying 3(5x + -4) + 2 = 40 + 2(4x + -5) Reorder the terms: 3(-4 + 5x) + 2 = 40 + 2(4x + -5) (-4 * 3 + 5x * 3) + 2 = 40 + 2(4x + -5) (-12 + 15x) + 2 = 40 + 2(4x + -5) Reorder the terms: -12 + 2 + 15x = 40 + 2(4x + -5) Combine like terms: -12 + 2 = -10 -10 + 15x = 40 + 2(4x + -5) Reorder the terms: -10 + 15x = 40 + 2(-5 + 4x) -10 + 15x = 40 + (-5 * 2 + 4x * 2) -10 + 15x = 40 + (-10 + 8x) Combine like terms: 40 + -10 = 30 -10 + 15x = 30 + 8x Solving -10 + 15x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 15x + -8x = 30 + 8x + -8x Combine like terms: 15x + -8x = 7x -10 + 7x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 7x = 30 + 0 -10 + 7x = 30 Add '10' to each side of the equation. -10 + 10 + 7x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 30 + 10 7x = 30 + 10 Combine like terms: 30 + 10 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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