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Simplifying 5(3x + -2 + 4x) = 5x + 62 + -6x Reorder the terms: 5(-2 + 3x + 4x) = 5x + 62 + -6x Combine like terms: 3x + 4x = 7x 5(-2 + 7x) = 5x + 62 + -6x (-2 * 5 + 7x * 5) = 5x + 62 + -6x (-10 + 35x) = 5x + 62 + -6x Reorder the terms: -10 + 35x = 62 + 5x + -6x Combine like terms: 5x + -6x = -1x -10 + 35x = 62 + -1x Solving -10 + 35x = 62 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 35x + x = 62 + -1x + x Combine like terms: 35x + x = 36x -10 + 36x = 62 + -1x + x Combine like terms: -1x + x = 0 -10 + 36x = 62 + 0 -10 + 36x = 62 Add '10' to each side of the equation. -10 + 10 + 36x = 62 + 10 Combine like terms: -10 + 10 = 0 0 + 36x = 62 + 10 36x = 62 + 10 Combine like terms: 62 + 10 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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