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Simplifying -11 = (18 + -6x) * 4 + -1(3x + 1) * 5 Reorder the terms for easier multiplication: -11 = 4(18 + -6x) + -1(3x + 1) * 5 -11 = (18 * 4 + -6x * 4) + -1(3x + 1) * 5 -11 = (72 + -24x) + -1(3x + 1) * 5 Reorder the terms: -11 = 72 + -24x + -1(1 + 3x) * 5 Reorder the terms for easier multiplication: -11 = 72 + -24x + -1 * 5(1 + 3x) Multiply -1 * 5 -11 = 72 + -24x + -5(1 + 3x) -11 = 72 + -24x + (1 * -5 + 3x * -5) -11 = 72 + -24x + (-5 + -15x) Reorder the terms: -11 = 72 + -5 + -24x + -15x Combine like terms: 72 + -5 = 67 -11 = 67 + -24x + -15x Combine like terms: -24x + -15x = -39x -11 = 67 + -39x Solving -11 = 67 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. -11 + 39x = 67 + -39x + 39x Combine like terms: -39x + 39x = 0 -11 + 39x = 67 + 0 -11 + 39x = 67 Add '11' to each side of the equation. -11 + 11 + 39x = 67 + 11 Combine like terms: -11 + 11 = 0 0 + 39x = 67 + 11 39x = 67 + 11 Combine like terms: 67 + 11 = 78 39x = 78 Divide each side by '39'. x = 2 Simplifying x = 2
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