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Simplifying 5(x + 14) = 6x + -13 Reorder the terms: 5(14 + x) = 6x + -13 (14 * 5 + x * 5) = 6x + -13 (70 + 5x) = 6x + -13 Reorder the terms: 70 + 5x = -13 + 6x Solving 70 + 5x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 70 + 5x + -6x = -13 + 6x + -6x Combine like terms: 5x + -6x = -1x 70 + -1x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 70 + -1x = -13 + 0 70 + -1x = -13 Add '-70' to each side of the equation. 70 + -70 + -1x = -13 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = -13 + -70 -1x = -13 + -70 Combine like terms: -13 + -70 = -83 -1x = -83 Divide each side by '-1'. x = 83 Simplifying x = 83
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