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Simplifying 7 + -4(2x + 3) = 3x + 5 Reorder the terms: 7 + -4(3 + 2x) = 3x + 5 7 + (3 * -4 + 2x * -4) = 3x + 5 7 + (-12 + -8x) = 3x + 5 Combine like terms: 7 + -12 = -5 -5 + -8x = 3x + 5 Reorder the terms: -5 + -8x = 5 + 3x Solving -5 + -8x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -8x + -3x = 5 + 3x + -3x Combine like terms: -8x + -3x = -11x -5 + -11x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -11x = 5 + 0 -5 + -11x = 5 Add '5' to each side of the equation. -5 + 5 + -11x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 5 + 5 -11x = 5 + 5 Combine like terms: 5 + 5 = 10 -11x = 10 Divide each side by '-11'. x = -0.9090909091 Simplifying x = -0.9090909091
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