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Simplifying 2(40 + -6x) + 24x + 38 = 2(x + 26) (40 * 2 + -6x * 2) + 24x + 38 = 2(x + 26) (80 + -12x) + 24x + 38 = 2(x + 26) Reorder the terms: 80 + 38 + -12x + 24x = 2(x + 26) Combine like terms: 80 + 38 = 118 118 + -12x + 24x = 2(x + 26) Combine like terms: -12x + 24x = 12x 118 + 12x = 2(x + 26) Reorder the terms: 118 + 12x = 2(26 + x) 118 + 12x = (26 * 2 + x * 2) 118 + 12x = (52 + 2x) Solving 118 + 12x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 118 + 12x + -2x = 52 + 2x + -2x Combine like terms: 12x + -2x = 10x 118 + 10x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 118 + 10x = 52 + 0 118 + 10x = 52 Add '-118' to each side of the equation. 118 + -118 + 10x = 52 + -118 Combine like terms: 118 + -118 = 0 0 + 10x = 52 + -118 10x = 52 + -118 Combine like terms: 52 + -118 = -66 10x = -66 Divide each side by '10'. x = -6.6 Simplifying x = -6.6
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