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Simplifying 3(2x + 18) + -4x + -22 = 7x + -18 Reorder the terms: 3(18 + 2x) + -4x + -22 = 7x + -18 (18 * 3 + 2x * 3) + -4x + -22 = 7x + -18 (54 + 6x) + -4x + -22 = 7x + -18 Reorder the terms: 54 + -22 + 6x + -4x = 7x + -18 Combine like terms: 54 + -22 = 32 32 + 6x + -4x = 7x + -18 Combine like terms: 6x + -4x = 2x 32 + 2x = 7x + -18 Reorder the terms: 32 + 2x = -18 + 7x Solving 32 + 2x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + 2x + -7x = -18 + 7x + -7x Combine like terms: 2x + -7x = -5x 32 + -5x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -5x = -18 + 0 32 + -5x = -18 Add '-32' to each side of the equation. 32 + -32 + -5x = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -18 + -32 -5x = -18 + -32 Combine like terms: -18 + -32 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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