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Simplifying 2(12x + -7) = 5(3x) Reorder the terms: 2(-7 + 12x) = 5(3x) (-7 * 2 + 12x * 2) = 5(3x) (-14 + 24x) = 5(3x) Remove parenthesis around (3x) -14 + 24x = 5 * 3x Multiply 5 * 3 -14 + 24x = 15x Solving -14 + 24x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + 24x + -15x = 15x + -15x Combine like terms: 24x + -15x = 9x -14 + 9x = 15x + -15x Combine like terms: 15x + -15x = 0 -14 + 9x = 0 Add '14' to each side of the equation. -14 + 14 + 9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 0 + 14 9x = 0 + 14 Combine like terms: 0 + 14 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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