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Simplifying 5(2x + 1) + 3x = -30 + -1x Reorder the terms: 5(1 + 2x) + 3x = -30 + -1x (1 * 5 + 2x * 5) + 3x = -30 + -1x (5 + 10x) + 3x = -30 + -1x Combine like terms: 10x + 3x = 13x 5 + 13x = -30 + -1x Solving 5 + 13x = -30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 13x + x = -30 + -1x + x Combine like terms: 13x + x = 14x 5 + 14x = -30 + -1x + x Combine like terms: -1x + x = 0 5 + 14x = -30 + 0 5 + 14x = -30 Add '-5' to each side of the equation. 5 + -5 + 14x = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = -30 + -5 14x = -30 + -5 Combine like terms: -30 + -5 = -35 14x = -35 Divide each side by '14'. x = -2.5 Simplifying x = -2.5
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