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Simplifying 13x + -13 = 7(2x + -4) Reorder the terms: -13 + 13x = 7(2x + -4) Reorder the terms: -13 + 13x = 7(-4 + 2x) -13 + 13x = (-4 * 7 + 2x * 7) -13 + 13x = (-28 + 14x) Solving -13 + 13x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -13 + 13x + -14x = -28 + 14x + -14x Combine like terms: 13x + -14x = -1x -13 + -1x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 -13 + -1x = -28 + 0 -13 + -1x = -28 Add '13' to each side of the equation. -13 + 13 + -1x = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -28 + 13 -1x = -28 + 13 Combine like terms: -28 + 13 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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