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Simplifying 2(-3x + 4) = 7(x + 3) Reorder the terms: 2(4 + -3x) = 7(x + 3) (4 * 2 + -3x * 2) = 7(x + 3) (8 + -6x) = 7(x + 3) Reorder the terms: 8 + -6x = 7(3 + x) 8 + -6x = (3 * 7 + x * 7) 8 + -6x = (21 + 7x) Solving 8 + -6x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + -6x + -7x = 21 + 7x + -7x Combine like terms: -6x + -7x = -13x 8 + -13x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -13x = 21 + 0 8 + -13x = 21 Add '-8' to each side of the equation. 8 + -8 + -13x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = 21 + -8 -13x = 21 + -8 Combine like terms: 21 + -8 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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