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Simplifying 3x + 7 = -4(4 + -6x) + 2 Reorder the terms: 7 + 3x = -4(4 + -6x) + 2 7 + 3x = (4 * -4 + -6x * -4) + 2 7 + 3x = (-16 + 24x) + 2 Reorder the terms: 7 + 3x = -16 + 2 + 24x Combine like terms: -16 + 2 = -14 7 + 3x = -14 + 24x Solving 7 + 3x = -14 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 7 + 3x + -24x = -14 + 24x + -24x Combine like terms: 3x + -24x = -21x 7 + -21x = -14 + 24x + -24x Combine like terms: 24x + -24x = 0 7 + -21x = -14 + 0 7 + -21x = -14 Add '-7' to each side of the equation. 7 + -7 + -21x = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -21x = -14 + -7 -21x = -14 + -7 Combine like terms: -14 + -7 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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