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Simplifying 3(4x + 30) = 2x + -5(3 + -1x) + 2 Reorder the terms: 3(30 + 4x) = 2x + -5(3 + -1x) + 2 (30 * 3 + 4x * 3) = 2x + -5(3 + -1x) + 2 (90 + 12x) = 2x + -5(3 + -1x) + 2 90 + 12x = 2x + (3 * -5 + -1x * -5) + 2 90 + 12x = 2x + (-15 + 5x) + 2 Reorder the terms: 90 + 12x = -15 + 2 + 2x + 5x Combine like terms: -15 + 2 = -13 90 + 12x = -13 + 2x + 5x Combine like terms: 2x + 5x = 7x 90 + 12x = -13 + 7x Solving 90 + 12x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 90 + 12x + -7x = -13 + 7x + -7x Combine like terms: 12x + -7x = 5x 90 + 5x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 90 + 5x = -13 + 0 90 + 5x = -13 Add '-90' to each side of the equation. 90 + -90 + 5x = -13 + -90 Combine like terms: 90 + -90 = 0 0 + 5x = -13 + -90 5x = -13 + -90 Combine like terms: -13 + -90 = -103 5x = -103 Divide each side by '5'. x = -20.6 Simplifying x = -20.6
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