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Simplifying 3(5x + -22) = 4(x + 33) Reorder the terms: 3(-22 + 5x) = 4(x + 33) (-22 * 3 + 5x * 3) = 4(x + 33) (-66 + 15x) = 4(x + 33) Reorder the terms: -66 + 15x = 4(33 + x) -66 + 15x = (33 * 4 + x * 4) -66 + 15x = (132 + 4x) Solving -66 + 15x = 132 + 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. -66 + 15x + -4x = 132 + 4x + -4x Combine like terms: 15x + -4x = 11x -66 + 11x = 132 + 4x + -4x Combine like terms: 4x + -4x = 0 -66 + 11x = 132 + 0 -66 + 11x = 132 Add '66' to each side of the equation. -66 + 66 + 11x = 132 + 66 Combine like terms: -66 + 66 = 0 0 + 11x = 132 + 66 11x = 132 + 66 Combine like terms: 132 + 66 = 198 11x = 198 Divide each side by '11'. x = 18 Simplifying x = 18
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