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Simplifying 3(x + -3) + 22 = 2(2x + 5) Reorder the terms: 3(-3 + x) + 22 = 2(2x + 5) (-3 * 3 + x * 3) + 22 = 2(2x + 5) (-9 + 3x) + 22 = 2(2x + 5) Reorder the terms: -9 + 22 + 3x = 2(2x + 5) Combine like terms: -9 + 22 = 13 13 + 3x = 2(2x + 5) Reorder the terms: 13 + 3x = 2(5 + 2x) 13 + 3x = (5 * 2 + 2x * 2) 13 + 3x = (10 + 4x) Solving 13 + 3x = 10 + 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. 13 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x 13 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -1x = 10 + 0 13 + -1x = 10 Add '-13' to each side of the equation. 13 + -13 + -1x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 10 + -13 -1x = 10 + -13 Combine like terms: 10 + -13 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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