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Simplifying 2(x + 3) = 4(5x + -3) Reorder the terms: 2(3 + x) = 4(5x + -3) (3 * 2 + x * 2) = 4(5x + -3) (6 + 2x) = 4(5x + -3) Reorder the terms: 6 + 2x = 4(-3 + 5x) 6 + 2x = (-3 * 4 + 5x * 4) 6 + 2x = (-12 + 20x) Solving 6 + 2x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 2x + -20x = -12 + 20x + -20x Combine like terms: 2x + -20x = -18x 6 + -18x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -18x = -12 + 0 6 + -18x = -12 Add '-6' to each side of the equation. 6 + -6 + -18x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -12 + -6 -18x = -12 + -6 Combine like terms: -12 + -6 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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