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Simplifying 3(2x + -3) + 15 = 2x + -22 Reorder the terms: 3(-3 + 2x) + 15 = 2x + -22 (-3 * 3 + 2x * 3) + 15 = 2x + -22 (-9 + 6x) + 15 = 2x + -22 Reorder the terms: -9 + 15 + 6x = 2x + -22 Combine like terms: -9 + 15 = 6 6 + 6x = 2x + -22 Reorder the terms: 6 + 6x = -22 + 2x Solving 6 + 6x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 6x + -2x = -22 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = -22 + 0 6 + 4x = -22 Add '-6' to each side of the equation. 6 + -6 + 4x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -22 + -6 4x = -22 + -6 Combine like terms: -22 + -6 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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