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Simplifying 18x + 5(2 + -3x) = 2x + 13 18x + (2 * 5 + -3x * 5) = 2x + 13 18x + (10 + -15x) = 2x + 13 Reorder the terms: 10 + 18x + -15x = 2x + 13 Combine like terms: 18x + -15x = 3x 10 + 3x = 2x + 13 Reorder the terms: 10 + 3x = 13 + 2x Solving 10 + 3x = 13 + 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. 10 + 3x + -2x = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 13 + 0 10 + 1x = 13 Add '-10' to each side of the equation. 10 + -10 + 1x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 13 + -10 1x = 13 + -10 Combine like terms: 13 + -10 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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