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Simplifying 5x + -2x + 100 + 3x = 8x + -5x + 130 Reorder the terms: 100 + 5x + -2x + 3x = 8x + -5x + 130 Combine like terms: 5x + -2x = 3x 100 + 3x + 3x = 8x + -5x + 130 Combine like terms: 3x + 3x = 6x 100 + 6x = 8x + -5x + 130 Reorder the terms: 100 + 6x = 130 + 8x + -5x Combine like terms: 8x + -5x = 3x 100 + 6x = 130 + 3x Solving 100 + 6x = 130 + 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. 100 + 6x + -3x = 130 + 3x + -3x Combine like terms: 6x + -3x = 3x 100 + 3x = 130 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + 3x = 130 + 0 100 + 3x = 130 Add '-100' to each side of the equation. 100 + -100 + 3x = 130 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 130 + -100 3x = 130 + -100 Combine like terms: 130 + -100 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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