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Simplifying 7 + 2(3 + -4x) = 7x + 2(3x + -4) 7 + (3 * 2 + -4x * 2) = 7x + 2(3x + -4) 7 + (6 + -8x) = 7x + 2(3x + -4) Combine like terms: 7 + 6 = 13 13 + -8x = 7x + 2(3x + -4) Reorder the terms: 13 + -8x = 7x + 2(-4 + 3x) 13 + -8x = 7x + (-4 * 2 + 3x * 2) 13 + -8x = 7x + (-8 + 6x) Reorder the terms: 13 + -8x = -8 + 7x + 6x Combine like terms: 7x + 6x = 13x 13 + -8x = -8 + 13x Solving 13 + -8x = -8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 13 + -8x + -13x = -8 + 13x + -13x Combine like terms: -8x + -13x = -21x 13 + -21x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + -21x = -8 + 0 13 + -21x = -8 Add '-13' to each side of the equation. 13 + -13 + -21x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -21x = -8 + -13 -21x = -8 + -13 Combine like terms: -8 + -13 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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