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Simplifying 5(2x + -3) = 18 + -3(x + -11) Reorder the terms: 5(-3 + 2x) = 18 + -3(x + -11) (-3 * 5 + 2x * 5) = 18 + -3(x + -11) (-15 + 10x) = 18 + -3(x + -11) Reorder the terms: -15 + 10x = 18 + -3(-11 + x) -15 + 10x = 18 + (-11 * -3 + x * -3) -15 + 10x = 18 + (33 + -3x) Combine like terms: 18 + 33 = 51 -15 + 10x = 51 + -3x Solving -15 + 10x = 51 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 10x + 3x = 51 + -3x + 3x Combine like terms: 10x + 3x = 13x -15 + 13x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 13x = 51 + 0 -15 + 13x = 51 Add '15' to each side of the equation. -15 + 15 + 13x = 51 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 51 + 15 13x = 51 + 15 Combine like terms: 51 + 15 = 66 13x = 66 Divide each side by '13'. x = 5.076923077 Simplifying x = 5.076923077
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