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Simplifying 5 + -1(2x + -3) + 4x = 3(2x + 4) Reorder the terms: 5 + -1(-3 + 2x) + 4x = 3(2x + 4) 5 + (-3 * -1 + 2x * -1) + 4x = 3(2x + 4) 5 + (3 + -2x) + 4x = 3(2x + 4) Combine like terms: 5 + 3 = 8 8 + -2x + 4x = 3(2x + 4) Combine like terms: -2x + 4x = 2x 8 + 2x = 3(2x + 4) Reorder the terms: 8 + 2x = 3(4 + 2x) 8 + 2x = (4 * 3 + 2x * 3) 8 + 2x = (12 + 6x) Solving 8 + 2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x 8 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -4x = 12 + 0 8 + -4x = 12 Add '-8' to each side of the equation. 8 + -8 + -4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 12 + -8 -4x = 12 + -8 Combine like terms: 12 + -8 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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