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Simplifying 4x + 3(x + -5) = 5(3x + 2) + 2(x + -5) + 5 Reorder the terms: 4x + 3(-5 + x) = 5(3x + 2) + 2(x + -5) + 5 4x + (-5 * 3 + x * 3) = 5(3x + 2) + 2(x + -5) + 5 4x + (-15 + 3x) = 5(3x + 2) + 2(x + -5) + 5 Reorder the terms: -15 + 4x + 3x = 5(3x + 2) + 2(x + -5) + 5 Combine like terms: 4x + 3x = 7x -15 + 7x = 5(3x + 2) + 2(x + -5) + 5 Reorder the terms: -15 + 7x = 5(2 + 3x) + 2(x + -5) + 5 -15 + 7x = (2 * 5 + 3x * 5) + 2(x + -5) + 5 -15 + 7x = (10 + 15x) + 2(x + -5) + 5 Reorder the terms: -15 + 7x = 10 + 15x + 2(-5 + x) + 5 -15 + 7x = 10 + 15x + (-5 * 2 + x * 2) + 5 -15 + 7x = 10 + 15x + (-10 + 2x) + 5 Reorder the terms: -15 + 7x = 10 + -10 + 5 + 15x + 2x Combine like terms: 10 + -10 = 0 -15 + 7x = 0 + 5 + 15x + 2x -15 + 7x = 5 + 15x + 2x Combine like terms: 15x + 2x = 17x -15 + 7x = 5 + 17x Solving -15 + 7x = 5 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -15 + 7x + -17x = 5 + 17x + -17x Combine like terms: 7x + -17x = -10x -15 + -10x = 5 + 17x + -17x Combine like terms: 17x + -17x = 0 -15 + -10x = 5 + 0 -15 + -10x = 5 Add '15' to each side of the equation. -15 + 15 + -10x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 5 + 15 -10x = 5 + 15 Combine like terms: 5 + 15 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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