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Simplifying 4(3x + 1) + -7x + -5 = 6x + 12 Reorder the terms: 4(1 + 3x) + -7x + -5 = 6x + 12 (1 * 4 + 3x * 4) + -7x + -5 = 6x + 12 (4 + 12x) + -7x + -5 = 6x + 12 Reorder the terms: 4 + -5 + 12x + -7x = 6x + 12 Combine like terms: 4 + -5 = -1 -1 + 12x + -7x = 6x + 12 Combine like terms: 12x + -7x = 5x -1 + 5x = 6x + 12 Reorder the terms: -1 + 5x = 12 + 6x Solving -1 + 5x = 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. -1 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x -1 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -1x = 12 + 0 -1 + -1x = 12 Add '1' to each side of the equation. -1 + 1 + -1x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 12 + 1 -1x = 12 + 1 Combine like terms: 12 + 1 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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