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Simplifying 3(8x + 5) + -4 = 4(-3x + -7) + -3x Reorder the terms: 3(5 + 8x) + -4 = 4(-3x + -7) + -3x (5 * 3 + 8x * 3) + -4 = 4(-3x + -7) + -3x (15 + 24x) + -4 = 4(-3x + -7) + -3x Reorder the terms: 15 + -4 + 24x = 4(-3x + -7) + -3x Combine like terms: 15 + -4 = 11 11 + 24x = 4(-3x + -7) + -3x Reorder the terms: 11 + 24x = 4(-7 + -3x) + -3x 11 + 24x = (-7 * 4 + -3x * 4) + -3x 11 + 24x = (-28 + -12x) + -3x Combine like terms: -12x + -3x = -15x 11 + 24x = -28 + -15x Solving 11 + 24x = -28 + -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. 11 + 24x + 15x = -28 + -15x + 15x Combine like terms: 24x + 15x = 39x 11 + 39x = -28 + -15x + 15x Combine like terms: -15x + 15x = 0 11 + 39x = -28 + 0 11 + 39x = -28 Add '-11' to each side of the equation. 11 + -11 + 39x = -28 + -11 Combine like terms: 11 + -11 = 0 0 + 39x = -28 + -11 39x = -28 + -11 Combine like terms: -28 + -11 = -39 39x = -39 Divide each side by '39'. x = -1 Simplifying x = -1
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