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Simplifying 7x + -5 = 2(12x + 10) Reorder the terms: -5 + 7x = 2(12x + 10) Reorder the terms: -5 + 7x = 2(10 + 12x) -5 + 7x = (10 * 2 + 12x * 2) -5 + 7x = (20 + 24x) Solving -5 + 7x = 20 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -5 + 7x + -24x = 20 + 24x + -24x Combine like terms: 7x + -24x = -17x -5 + -17x = 20 + 24x + -24x Combine like terms: 24x + -24x = 0 -5 + -17x = 20 + 0 -5 + -17x = 20 Add '5' to each side of the equation. -5 + 5 + -17x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -17x = 20 + 5 -17x = 20 + 5 Combine like terms: 20 + 5 = 25 -17x = 25 Divide each side by '-17'. x = -1.470588235 Simplifying x = -1.470588235
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