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Simplifying 5x + -1(100 + 2x) = 4x + -2(10 + 5) 5x + (100 * -1 + 2x * -1) = 4x + -2(10 + 5) 5x + (-100 + -2x) = 4x + -2(10 + 5) Reorder the terms: -100 + 5x + -2x = 4x + -2(10 + 5) Combine like terms: 5x + -2x = 3x -100 + 3x = 4x + -2(10 + 5) Combine like terms: 10 + 5 = 15 -100 + 3x = 4x + -2(15) Multiply -2 * 15 -100 + 3x = 4x + -30 Reorder the terms: -100 + 3x = -30 + 4x Solving -100 + 3x = -30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -100 + 3x + -4x = -30 + 4x + -4x Combine like terms: 3x + -4x = -1x -100 + -1x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 -100 + -1x = -30 + 0 -100 + -1x = -30 Add '100' to each side of the equation. -100 + 100 + -1x = -30 + 100 Combine like terms: -100 + 100 = 0 0 + -1x = -30 + 100 -1x = -30 + 100 Combine like terms: -30 + 100 = 70 -1x = 70 Divide each side by '-1'. x = -70 Simplifying x = -70
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