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Simplifying 7 + -4(2x + 3) = 5x + -2x + 9 Reorder the terms: 7 + -4(3 + 2x) = 5x + -2x + 9 7 + (3 * -4 + 2x * -4) = 5x + -2x + 9 7 + (-12 + -8x) = 5x + -2x + 9 Combine like terms: 7 + -12 = -5 -5 + -8x = 5x + -2x + 9 Reorder the terms: -5 + -8x = 9 + 5x + -2x Combine like terms: 5x + -2x = 3x -5 + -8x = 9 + 3x Solving -5 + -8x = 9 + 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 = 9 + 3x + -3x Combine like terms: -8x + -3x = -11x -5 + -11x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -11x = 9 + 0 -5 + -11x = 9 Add '5' to each side of the equation. -5 + 5 + -11x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 9 + 5 -11x = 9 + 5 Combine like terms: 9 + 5 = 14 -11x = 14 Divide each side by '-11'. x = -1.272727273 Simplifying x = -1.272727273
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