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Simplifying 20 + -2(x + 3) = 22(x + 4) + -47 Reorder the terms: 20 + -2(3 + x) = 22(x + 4) + -47 20 + (3 * -2 + x * -2) = 22(x + 4) + -47 20 + (-6 + -2x) = 22(x + 4) + -47 Combine like terms: 20 + -6 = 14 14 + -2x = 22(x + 4) + -47 Reorder the terms: 14 + -2x = 22(4 + x) + -47 14 + -2x = (4 * 22 + x * 22) + -47 14 + -2x = (88 + 22x) + -47 Reorder the terms: 14 + -2x = 88 + -47 + 22x Combine like terms: 88 + -47 = 41 14 + -2x = 41 + 22x Solving 14 + -2x = 41 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 14 + -2x + -22x = 41 + 22x + -22x Combine like terms: -2x + -22x = -24x 14 + -24x = 41 + 22x + -22x Combine like terms: 22x + -22x = 0 14 + -24x = 41 + 0 14 + -24x = 41 Add '-14' to each side of the equation. 14 + -14 + -24x = 41 + -14 Combine like terms: 14 + -14 = 0 0 + -24x = 41 + -14 -24x = 41 + -14 Combine like terms: 41 + -14 = 27 -24x = 27 Divide each side by '-24'. x = -1.125 Simplifying x = -1.125
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