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Simplifying 652 + 231x = 8(3x + -22) Reorder the terms: 652 + 231x = 8(-22 + 3x) 652 + 231x = (-22 * 8 + 3x * 8) 652 + 231x = (-176 + 24x) Solving 652 + 231x = -176 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 652 + 231x + -24x = -176 + 24x + -24x Combine like terms: 231x + -24x = 207x 652 + 207x = -176 + 24x + -24x Combine like terms: 24x + -24x = 0 652 + 207x = -176 + 0 652 + 207x = -176 Add '-652' to each side of the equation. 652 + -652 + 207x = -176 + -652 Combine like terms: 652 + -652 = 0 0 + 207x = -176 + -652 207x = -176 + -652 Combine like terms: -176 + -652 = -828 207x = -828 Divide each side by '207'. x = -4 Simplifying x = -4
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