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Simplifying 2(x + 3) = 6(7x + -2) Reorder the terms: 2(3 + x) = 6(7x + -2) (3 * 2 + x * 2) = 6(7x + -2) (6 + 2x) = 6(7x + -2) Reorder the terms: 6 + 2x = 6(-2 + 7x) 6 + 2x = (-2 * 6 + 7x * 6) 6 + 2x = (-12 + 42x) Solving 6 + 2x = -12 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 6 + 2x + -42x = -12 + 42x + -42x Combine like terms: 2x + -42x = -40x 6 + -40x = -12 + 42x + -42x Combine like terms: 42x + -42x = 0 6 + -40x = -12 + 0 6 + -40x = -12 Add '-6' to each side of the equation. 6 + -6 + -40x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -40x = -12 + -6 -40x = -12 + -6 Combine like terms: -12 + -6 = -18 -40x = -18 Divide each side by '-40'. x = 0.45 Simplifying x = 0.45
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