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Simplifying (7 + 3x) * 4 + -6x = 2(6x + -1) Reorder the terms for easier multiplication: 4(7 + 3x) + -6x = 2(6x + -1) (7 * 4 + 3x * 4) + -6x = 2(6x + -1) (28 + 12x) + -6x = 2(6x + -1) Combine like terms: 12x + -6x = 6x 28 + 6x = 2(6x + -1) Reorder the terms: 28 + 6x = 2(-1 + 6x) 28 + 6x = (-1 * 2 + 6x * 2) 28 + 6x = (-2 + 12x) Solving 28 + 6x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 28 + 6x + -12x = -2 + 12x + -12x Combine like terms: 6x + -12x = -6x 28 + -6x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -6x = -2 + 0 28 + -6x = -2 Add '-28' to each side of the equation. 28 + -28 + -6x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = -2 + -28 -6x = -2 + -28 Combine like terms: -2 + -28 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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