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Simplifying 5(3x + -4) + -2x = 7x + 10 Reorder the terms: 5(-4 + 3x) + -2x = 7x + 10 (-4 * 5 + 3x * 5) + -2x = 7x + 10 (-20 + 15x) + -2x = 7x + 10 Combine like terms: 15x + -2x = 13x -20 + 13x = 7x + 10 Reorder the terms: -20 + 13x = 10 + 7x Solving -20 + 13x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 13x + -7x = 10 + 7x + -7x Combine like terms: 13x + -7x = 6x -20 + 6x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 6x = 10 + 0 -20 + 6x = 10 Add '20' to each side of the equation. -20 + 20 + 6x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 10 + 20 6x = 10 + 20 Combine like terms: 10 + 20 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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