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Simplifying 84 = 12(2x + -13) * 10 Reorder the terms: 84 = 12(-13 + 2x) * 10 Reorder the terms for easier multiplication: 84 = 12 * 10(-13 + 2x) Multiply 12 * 10 84 = 120(-13 + 2x) 84 = (-13 * 120 + 2x * 120) 84 = (-1560 + 240x) Solving 84 = -1560 + 240x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240x' to each side of the equation. 84 + -240x = -1560 + 240x + -240x Combine like terms: 240x + -240x = 0 84 + -240x = -1560 + 0 84 + -240x = -1560 Add '-84' to each side of the equation. 84 + -84 + -240x = -1560 + -84 Combine like terms: 84 + -84 = 0 0 + -240x = -1560 + -84 -240x = -1560 + -84 Combine like terms: -1560 + -84 = -1644 -240x = -1644 Divide each side by '-240'. x = 6.85 Simplifying x = 6.85
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