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Simplifying 4(x + 3) = 7(3 + -2x) Reorder the terms: 4(3 + x) = 7(3 + -2x) (3 * 4 + x * 4) = 7(3 + -2x) (12 + 4x) = 7(3 + -2x) 12 + 4x = (3 * 7 + -2x * 7) 12 + 4x = (21 + -14x) Solving 12 + 4x = 21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 12 + 4x + 14x = 21 + -14x + 14x Combine like terms: 4x + 14x = 18x 12 + 18x = 21 + -14x + 14x Combine like terms: -14x + 14x = 0 12 + 18x = 21 + 0 12 + 18x = 21 Add '-12' to each side of the equation. 12 + -12 + 18x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 21 + -12 18x = 21 + -12 Combine like terms: 21 + -12 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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