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Simplifying 3x + -4 = 3(2x + 1) + 5 Reorder the terms: -4 + 3x = 3(2x + 1) + 5 Reorder the terms: -4 + 3x = 3(1 + 2x) + 5 -4 + 3x = (1 * 3 + 2x * 3) + 5 -4 + 3x = (3 + 6x) + 5 Reorder the terms: -4 + 3x = 3 + 5 + 6x Combine like terms: 3 + 5 = 8 -4 + 3x = 8 + 6x Solving -4 + 3x = 8 + 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. -4 + 3x + -6x = 8 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = 8 + 0 -4 + -3x = 8 Add '4' to each side of the equation. -4 + 4 + -3x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 8 + 4 -3x = 8 + 4 Combine like terms: 8 + 4 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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