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Simplifying 5x + 18 = 15x + -4(6 + -1x) Reorder the terms: 18 + 5x = 15x + -4(6 + -1x) 18 + 5x = 15x + (6 * -4 + -1x * -4) 18 + 5x = 15x + (-24 + 4x) Reorder the terms: 18 + 5x = -24 + 15x + 4x Combine like terms: 15x + 4x = 19x 18 + 5x = -24 + 19x Solving 18 + 5x = -24 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 18 + 5x + -19x = -24 + 19x + -19x Combine like terms: 5x + -19x = -14x 18 + -14x = -24 + 19x + -19x Combine like terms: 19x + -19x = 0 18 + -14x = -24 + 0 18 + -14x = -24 Add '-18' to each side of the equation. 18 + -18 + -14x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = -24 + -18 -14x = -24 + -18 Combine like terms: -24 + -18 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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