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Simplifying 5(x + 2) = 3(4x + -2) Reorder the terms: 5(2 + x) = 3(4x + -2) (2 * 5 + x * 5) = 3(4x + -2) (10 + 5x) = 3(4x + -2) Reorder the terms: 10 + 5x = 3(-2 + 4x) 10 + 5x = (-2 * 3 + 4x * 3) 10 + 5x = (-6 + 12x) Solving 10 + 5x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 5x + -12x = -6 + 12x + -12x Combine like terms: 5x + -12x = -7x 10 + -7x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -7x = -6 + 0 10 + -7x = -6 Add '-10' to each side of the equation. 10 + -10 + -7x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -6 + -10 -7x = -6 + -10 Combine like terms: -6 + -10 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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