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Simplifying 6x + 9 + 52 = 13x + -9 Reorder the terms: 9 + 52 + 6x = 13x + -9 Combine like terms: 9 + 52 = 61 61 + 6x = 13x + -9 Reorder the terms: 61 + 6x = -9 + 13x Solving 61 + 6x = -9 + 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. 61 + 6x + -13x = -9 + 13x + -13x Combine like terms: 6x + -13x = -7x 61 + -7x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 61 + -7x = -9 + 0 61 + -7x = -9 Add '-61' to each side of the equation. 61 + -61 + -7x = -9 + -61 Combine like terms: 61 + -61 = 0 0 + -7x = -9 + -61 -7x = -9 + -61 Combine like terms: -9 + -61 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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