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Simplifying 7 + 3(1 + x) = 5 + -2(3 + -4x) 7 + (1 * 3 + x * 3) = 5 + -2(3 + -4x) 7 + (3 + 3x) = 5 + -2(3 + -4x) Combine like terms: 7 + 3 = 10 10 + 3x = 5 + -2(3 + -4x) 10 + 3x = 5 + (3 * -2 + -4x * -2) 10 + 3x = 5 + (-6 + 8x) Combine like terms: 5 + -6 = -1 10 + 3x = -1 + 8x Solving 10 + 3x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 3x + -8x = -1 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = -1 + 0 10 + -5x = -1 Add '-10' to each side of the equation. 10 + -10 + -5x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -1 + -10 -5x = -1 + -10 Combine like terms: -1 + -10 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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