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Simplifying 3(x + 7) + -6x = 4(x + 1) Reorder the terms: 3(7 + x) + -6x = 4(x + 1) (7 * 3 + x * 3) + -6x = 4(x + 1) (21 + 3x) + -6x = 4(x + 1) Combine like terms: 3x + -6x = -3x 21 + -3x = 4(x + 1) Reorder the terms: 21 + -3x = 4(1 + x) 21 + -3x = (1 * 4 + x * 4) 21 + -3x = (4 + 4x) Solving 21 + -3x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + -3x + -4x = 4 + 4x + -4x Combine like terms: -3x + -4x = -7x 21 + -7x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -7x = 4 + 0 21 + -7x = 4 Add '-21' to each side of the equation. 21 + -21 + -7x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 4 + -21 -7x = 4 + -21 Combine like terms: 4 + -21 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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