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Simplifying 4(5x + -3) = 5 + 7(x + -8) Reorder the terms: 4(-3 + 5x) = 5 + 7(x + -8) (-3 * 4 + 5x * 4) = 5 + 7(x + -8) (-12 + 20x) = 5 + 7(x + -8) Reorder the terms: -12 + 20x = 5 + 7(-8 + x) -12 + 20x = 5 + (-8 * 7 + x * 7) -12 + 20x = 5 + (-56 + 7x) Combine like terms: 5 + -56 = -51 -12 + 20x = -51 + 7x Solving -12 + 20x = -51 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 20x + -7x = -51 + 7x + -7x Combine like terms: 20x + -7x = 13x -12 + 13x = -51 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 13x = -51 + 0 -12 + 13x = -51 Add '12' to each side of the equation. -12 + 12 + 13x = -51 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = -51 + 12 13x = -51 + 12 Combine like terms: -51 + 12 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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