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Simplifying 20 + -3(x + 4) = 21(x + 2) + -7 Reorder the terms: 20 + -3(4 + x) = 21(x + 2) + -7 20 + (4 * -3 + x * -3) = 21(x + 2) + -7 20 + (-12 + -3x) = 21(x + 2) + -7 Combine like terms: 20 + -12 = 8 8 + -3x = 21(x + 2) + -7 Reorder the terms: 8 + -3x = 21(2 + x) + -7 8 + -3x = (2 * 21 + x * 21) + -7 8 + -3x = (42 + 21x) + -7 Reorder the terms: 8 + -3x = 42 + -7 + 21x Combine like terms: 42 + -7 = 35 8 + -3x = 35 + 21x Solving 8 + -3x = 35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 8 + -3x + -21x = 35 + 21x + -21x Combine like terms: -3x + -21x = -24x 8 + -24x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 8 + -24x = 35 + 0 8 + -24x = 35 Add '-8' to each side of the equation. 8 + -8 + -24x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -24x = 35 + -8 -24x = 35 + -8 Combine like terms: 35 + -8 = 27 -24x = 27 Divide each side by '-24'. x = -1.125 Simplifying x = -1.125
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