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Simplifying 5x + 100 + -3x = 125 * 8 + -4x + -50 * 6 Reorder the terms: 100 + 5x + -3x = 125 * 8 + -4x + -50 * 6 Combine like terms: 5x + -3x = 2x 100 + 2x = 125 * 8 + -4x + -50 * 6 Multiply 125 * 8 100 + 2x = 1000 + -4x + -50 * 6 Multiply -50 * 6 100 + 2x = 1000 + -4x + -300 Reorder the terms: 100 + 2x = 1000 + -300 + -4x Combine like terms: 1000 + -300 = 700 100 + 2x = 700 + -4x Solving 100 + 2x = 700 + -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 + 2x + 4x = 700 + -4x + 4x Combine like terms: 2x + 4x = 6x 100 + 6x = 700 + -4x + 4x Combine like terms: -4x + 4x = 0 100 + 6x = 700 + 0 100 + 6x = 700 Add '-100' to each side of the equation. 100 + -100 + 6x = 700 + -100 Combine like terms: 100 + -100 = 0 0 + 6x = 700 + -100 6x = 700 + -100 Combine like terms: 700 + -100 = 600 6x = 600 Divide each side by '6'. x = 100 Simplifying x = 100
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