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