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Simplifying 4(5x + -2) + 21 = 15x + -2 Reorder the terms: 4(-2 + 5x) + 21 = 15x + -2 (-2 * 4 + 5x * 4) + 21 = 15x + -2 (-8 + 20x) + 21 = 15x + -2 Reorder the terms: -8 + 21 + 20x = 15x + -2 Combine like terms: -8 + 21 = 13 13 + 20x = 15x + -2 Reorder the terms: 13 + 20x = -2 + 15x Solving 13 + 20x = -2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 13 + 20x + -15x = -2 + 15x + -15x Combine like terms: 20x + -15x = 5x 13 + 5x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 13 + 5x = -2 + 0 13 + 5x = -2 Add '-13' to each side of the equation. 13 + -13 + 5x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = -2 + -13 5x = -2 + -13 Combine like terms: -2 + -13 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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