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Simplifying 10(x + 5) + -20x = 5x + -1(2x + 28) Reorder the terms: 10(5 + x) + -20x = 5x + -1(2x + 28) (5 * 10 + x * 10) + -20x = 5x + -1(2x + 28) (50 + 10x) + -20x = 5x + -1(2x + 28) Combine like terms: 10x + -20x = -10x 50 + -10x = 5x + -1(2x + 28) Reorder the terms: 50 + -10x = 5x + -1(28 + 2x) 50 + -10x = 5x + (28 * -1 + 2x * -1) 50 + -10x = 5x + (-28 + -2x) Reorder the terms: 50 + -10x = -28 + 5x + -2x Combine like terms: 5x + -2x = 3x 50 + -10x = -28 + 3x Solving 50 + -10x = -28 + 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. 50 + -10x + -3x = -28 + 3x + -3x Combine like terms: -10x + -3x = -13x 50 + -13x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + -13x = -28 + 0 50 + -13x = -28 Add '-50' to each side of the equation. 50 + -50 + -13x = -28 + -50 Combine like terms: 50 + -50 = 0 0 + -13x = -28 + -50 -13x = -28 + -50 Combine like terms: -28 + -50 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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