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Simplifying 10 + -2(x + 3) = 22(x + 4) + -57 Reorder the terms: 10 + -2(3 + x) = 22(x + 4) + -57 10 + (3 * -2 + x * -2) = 22(x + 4) + -57 10 + (-6 + -2x) = 22(x + 4) + -57 Combine like terms: 10 + -6 = 4 4 + -2x = 22(x + 4) + -57 Reorder the terms: 4 + -2x = 22(4 + x) + -57 4 + -2x = (4 * 22 + x * 22) + -57 4 + -2x = (88 + 22x) + -57 Reorder the terms: 4 + -2x = 88 + -57 + 22x Combine like terms: 88 + -57 = 31 4 + -2x = 31 + 22x Solving 4 + -2x = 31 + 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. 4 + -2x + -22x = 31 + 22x + -22x Combine like terms: -2x + -22x = -24x 4 + -24x = 31 + 22x + -22x Combine like terms: 22x + -22x = 0 4 + -24x = 31 + 0 4 + -24x = 31 Add '-4' to each side of the equation. 4 + -4 + -24x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -24x = 31 + -4 -24x = 31 + -4 Combine like terms: 31 + -4 = 27 -24x = 27 Divide each side by '-24'. x = -1.125 Simplifying x = -1.125
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