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Simplifying 6x + -3x + 10 = 13x + -30 Reorder the terms: 10 + 6x + -3x = 13x + -30 Combine like terms: 6x + -3x = 3x 10 + 3x = 13x + -30 Reorder the terms: 10 + 3x = -30 + 13x Solving 10 + 3x = -30 + 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. 10 + 3x + -13x = -30 + 13x + -13x Combine like terms: 3x + -13x = -10x 10 + -10x = -30 + 13x + -13x Combine like terms: 13x + -13x = 0 10 + -10x = -30 + 0 10 + -10x = -30 Add '-10' to each side of the equation. 10 + -10 + -10x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -30 + -10 -10x = -30 + -10 Combine like terms: -30 + -10 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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