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Simplifying 18 + -7x = 5(3x + -2) + 6 Reorder the terms: 18 + -7x = 5(-2 + 3x) + 6 18 + -7x = (-2 * 5 + 3x * 5) + 6 18 + -7x = (-10 + 15x) + 6 Reorder the terms: 18 + -7x = -10 + 6 + 15x Combine like terms: -10 + 6 = -4 18 + -7x = -4 + 15x Solving 18 + -7x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + -7x + -15x = -4 + 15x + -15x Combine like terms: -7x + -15x = -22x 18 + -22x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -22x = -4 + 0 18 + -22x = -4 Add '-18' to each side of the equation. 18 + -18 + -22x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = -4 + -18 -22x = -4 + -18 Combine like terms: -4 + -18 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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