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Simplifying -22 = 3(x + 1) + 5(3x + -5) Reorder the terms: -22 = 3(1 + x) + 5(3x + -5) -22 = (1 * 3 + x * 3) + 5(3x + -5) -22 = (3 + 3x) + 5(3x + -5) Reorder the terms: -22 = 3 + 3x + 5(-5 + 3x) -22 = 3 + 3x + (-5 * 5 + 3x * 5) -22 = 3 + 3x + (-25 + 15x) Reorder the terms: -22 = 3 + -25 + 3x + 15x Combine like terms: 3 + -25 = -22 -22 = -22 + 3x + 15x Combine like terms: 3x + 15x = 18x -22 = -22 + 18x Add '22' to each side of the equation. -22 + 22 = -22 + 22 + 18x Combine like terms: -22 + 22 = 0 0 = -22 + 22 + 18x Combine like terms: -22 + 22 = 0 0 = 0 + 18x 0 = 18x Solving 0 = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 0 + -18x = 18x + -18x Remove the zero: -18x = 18x + -18x Combine like terms: 18x + -18x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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