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Simplifying 6x + 13 = 10x + -7 Reorder the terms: 13 + 6x = 10x + -7 Reorder the terms: 13 + 6x = -7 + 10x Solving 13 + 6x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 6x + -10x = -7 + 10x + -10x Combine like terms: 6x + -10x = -4x 13 + -4x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + -4x = -7 + 0 13 + -4x = -7 Add '-13' to each side of the equation. 13 + -13 + -4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -7 + -13 -4x = -7 + -13 Combine like terms: -7 + -13 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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