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Simplifying 5x + (-2x + 6) = 18 + -1(3x + -24) Reorder the terms: 5x + (6 + -2x) = 18 + -1(3x + -24) Remove parenthesis around (6 + -2x) 5x + 6 + -2x = 18 + -1(3x + -24) Reorder the terms: 6 + 5x + -2x = 18 + -1(3x + -24) Combine like terms: 5x + -2x = 3x 6 + 3x = 18 + -1(3x + -24) Reorder the terms: 6 + 3x = 18 + -1(-24 + 3x) 6 + 3x = 18 + (-24 * -1 + 3x * -1) 6 + 3x = 18 + (24 + -3x) Combine like terms: 18 + 24 = 42 6 + 3x = 42 + -3x Solving 6 + 3x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 3x + 3x = 42 + -3x + 3x Combine like terms: 3x + 3x = 6x 6 + 6x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 6x = 42 + 0 6 + 6x = 42 Add '-6' to each side of the equation. 6 + -6 + 6x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 42 + -6 6x = 42 + -6 Combine like terms: 42 + -6 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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