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Simplifying 4x + -5 + -2(3x + 5) = 18 + -5x Reorder the terms: 4x + -5 + -2(5 + 3x) = 18 + -5x 4x + -5 + (5 * -2 + 3x * -2) = 18 + -5x 4x + -5 + (-10 + -6x) = 18 + -5x Reorder the terms: -5 + -10 + 4x + -6x = 18 + -5x Combine like terms: -5 + -10 = -15 -15 + 4x + -6x = 18 + -5x Combine like terms: 4x + -6x = -2x -15 + -2x = 18 + -5x Solving -15 + -2x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + -2x + 5x = 18 + -5x + 5x Combine like terms: -2x + 5x = 3x -15 + 3x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 3x = 18 + 0 -15 + 3x = 18 Add '15' to each side of the equation. -15 + 15 + 3x = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 18 + 15 3x = 18 + 15 Combine like terms: 18 + 15 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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