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Simplifying 2(3x + -4) = 5(1 + -3x) + 8 Reorder the terms: 2(-4 + 3x) = 5(1 + -3x) + 8 (-4 * 2 + 3x * 2) = 5(1 + -3x) + 8 (-8 + 6x) = 5(1 + -3x) + 8 -8 + 6x = (1 * 5 + -3x * 5) + 8 -8 + 6x = (5 + -15x) + 8 Reorder the terms: -8 + 6x = 5 + 8 + -15x Combine like terms: 5 + 8 = 13 -8 + 6x = 13 + -15x Solving -8 + 6x = 13 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -8 + 6x + 15x = 13 + -15x + 15x Combine like terms: 6x + 15x = 21x -8 + 21x = 13 + -15x + 15x Combine like terms: -15x + 15x = 0 -8 + 21x = 13 + 0 -8 + 21x = 13 Add '8' to each side of the equation. -8 + 8 + 21x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = 13 + 8 21x = 13 + 8 Combine like terms: 13 + 8 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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