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Simplifying 2(5x + 2) = 6(3x + -2) Reorder the terms: 2(2 + 5x) = 6(3x + -2) (2 * 2 + 5x * 2) = 6(3x + -2) (4 + 10x) = 6(3x + -2) Reorder the terms: 4 + 10x = 6(-2 + 3x) 4 + 10x = (-2 * 6 + 3x * 6) 4 + 10x = (-12 + 18x) Solving 4 + 10x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + 10x + -18x = -12 + 18x + -18x Combine like terms: 10x + -18x = -8x 4 + -8x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -8x = -12 + 0 4 + -8x = -12 Add '-4' to each side of the equation. 4 + -4 + -8x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -12 + -4 -8x = -12 + -4 Combine like terms: -12 + -4 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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