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Simplifying 6(5x + 1) + -4x = 2x + -18 Reorder the terms: 6(1 + 5x) + -4x = 2x + -18 (1 * 6 + 5x * 6) + -4x = 2x + -18 (6 + 30x) + -4x = 2x + -18 Combine like terms: 30x + -4x = 26x 6 + 26x = 2x + -18 Reorder the terms: 6 + 26x = -18 + 2x Solving 6 + 26x = -18 + 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 + 26x + -2x = -18 + 2x + -2x Combine like terms: 26x + -2x = 24x 6 + 24x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 24x = -18 + 0 6 + 24x = -18 Add '-6' to each side of the equation. 6 + -6 + 24x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 24x = -18 + -6 24x = -18 + -6 Combine like terms: -18 + -6 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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