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Simplifying 4[2 + -3(2x + 4)] = 5x Reorder the terms: 4[2 + -3(4 + 2x)] = 5x 4[2 + (4 * -3 + 2x * -3)] = 5x 4[2 + (-12 + -6x)] = 5x Combine like terms: 2 + -12 = -10 4[-10 + -6x] = 5x [-10 * 4 + -6x * 4] = 5x [-40 + -24x] = 5x Solving -40 + -24x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + -24x + -5x = 5x + -5x Combine like terms: -24x + -5x = -29x -40 + -29x = 5x + -5x Combine like terms: 5x + -5x = 0 -40 + -29x = 0 Add '40' to each side of the equation. -40 + 40 + -29x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -29x = 0 + 40 -29x = 0 + 40 Combine like terms: 0 + 40 = 40 -29x = 40 Divide each side by '-29'. x = -1.379310345 Simplifying x = -1.379310345
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