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Simplifying 3 + -4(2x + 4) = -5(3x + -1) + 3 Reorder the terms: 3 + -4(4 + 2x) = -5(3x + -1) + 3 3 + (4 * -4 + 2x * -4) = -5(3x + -1) + 3 3 + (-16 + -8x) = -5(3x + -1) + 3 Combine like terms: 3 + -16 = -13 -13 + -8x = -5(3x + -1) + 3 Reorder the terms: -13 + -8x = -5(-1 + 3x) + 3 -13 + -8x = (-1 * -5 + 3x * -5) + 3 -13 + -8x = (5 + -15x) + 3 Reorder the terms: -13 + -8x = 5 + 3 + -15x Combine like terms: 5 + 3 = 8 -13 + -8x = 8 + -15x Solving -13 + -8x = 8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -13 + -8x + 15x = 8 + -15x + 15x Combine like terms: -8x + 15x = 7x -13 + 7x = 8 + -15x + 15x Combine like terms: -15x + 15x = 0 -13 + 7x = 8 + 0 -13 + 7x = 8 Add '13' to each side of the equation. -13 + 13 + 7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 8 + 13 7x = 8 + 13 Combine like terms: 8 + 13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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