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Simplifying 11x + -13 = 5(2x + 4) + -7 Reorder the terms: -13 + 11x = 5(2x + 4) + -7 Reorder the terms: -13 + 11x = 5(4 + 2x) + -7 -13 + 11x = (4 * 5 + 2x * 5) + -7 -13 + 11x = (20 + 10x) + -7 Reorder the terms: -13 + 11x = 20 + -7 + 10x Combine like terms: 20 + -7 = 13 -13 + 11x = 13 + 10x Solving -13 + 11x = 13 + 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 + 11x + -10x = 13 + 10x + -10x Combine like terms: 11x + -10x = 1x -13 + 1x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 1x = 13 + 0 -13 + 1x = 13 Add '13' to each side of the equation. -13 + 13 + 1x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 13 + 13 1x = 13 + 13 Combine like terms: 13 + 13 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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