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Simplifying 5x + -3(x + -10) = 100 + -2(3x + 5) Reorder the terms: 5x + -3(-10 + x) = 100 + -2(3x + 5) 5x + (-10 * -3 + x * -3) = 100 + -2(3x + 5) 5x + (30 + -3x) = 100 + -2(3x + 5) Reorder the terms: 30 + 5x + -3x = 100 + -2(3x + 5) Combine like terms: 5x + -3x = 2x 30 + 2x = 100 + -2(3x + 5) Reorder the terms: 30 + 2x = 100 + -2(5 + 3x) 30 + 2x = 100 + (5 * -2 + 3x * -2) 30 + 2x = 100 + (-10 + -6x) Combine like terms: 100 + -10 = 90 30 + 2x = 90 + -6x Solving 30 + 2x = 90 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 30 + 2x + 6x = 90 + -6x + 6x Combine like terms: 2x + 6x = 8x 30 + 8x = 90 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + 8x = 90 + 0 30 + 8x = 90 Add '-30' to each side of the equation. 30 + -30 + 8x = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 90 + -30 8x = 90 + -30 Combine like terms: 90 + -30 = 60 8x = 60 Divide each side by '8'. x = 7.5 Simplifying x = 7.5
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