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Simplifying 10x + -5 + 35 = 13x + 3 Reorder the terms: -5 + 35 + 10x = 13x + 3 Combine like terms: -5 + 35 = 30 30 + 10x = 13x + 3 Reorder the terms: 30 + 10x = 3 + 13x Solving 30 + 10x = 3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + 10x + -13x = 3 + 13x + -13x Combine like terms: 10x + -13x = -3x 30 + -3x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -3x = 3 + 0 30 + -3x = 3 Add '-30' to each side of the equation. 30 + -30 + -3x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 3 + -30 -3x = 3 + -30 Combine like terms: 3 + -30 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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