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Simplifying 5(3x + -22) = 4(x + 22) Reorder the terms: 5(-22 + 3x) = 4(x + 22) (-22 * 5 + 3x * 5) = 4(x + 22) (-110 + 15x) = 4(x + 22) Reorder the terms: -110 + 15x = 4(22 + x) -110 + 15x = (22 * 4 + x * 4) -110 + 15x = (88 + 4x) Solving -110 + 15x = 88 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -110 + 15x + -4x = 88 + 4x + -4x Combine like terms: 15x + -4x = 11x -110 + 11x = 88 + 4x + -4x Combine like terms: 4x + -4x = 0 -110 + 11x = 88 + 0 -110 + 11x = 88 Add '110' to each side of the equation. -110 + 110 + 11x = 88 + 110 Combine like terms: -110 + 110 = 0 0 + 11x = 88 + 110 11x = 88 + 110 Combine like terms: 88 + 110 = 198 11x = 198 Divide each side by '11'. x = 18 Simplifying x = 18
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