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Simplifying 3(-8)(x + 3) = 2(-2)(x + 5) Reorder the terms: 3 * -8(3 + x) = 2(-2)(x + 5) Multiply 3 * -8 -24(3 + x) = 2(-2)(x + 5) (3 * -24 + x * -24) = 2(-2)(x + 5) (-72 + -24x) = 2(-2)(x + 5) Reorder the terms: -72 + -24x = 2 * -2(5 + x) Multiply 2 * -2 -72 + -24x = -4(5 + x) -72 + -24x = (5 * -4 + x * -4) -72 + -24x = (-20 + -4x) Solving -72 + -24x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -72 + -24x + 4x = -20 + -4x + 4x Combine like terms: -24x + 4x = -20x -72 + -20x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -72 + -20x = -20 + 0 -72 + -20x = -20 Add '72' to each side of the equation. -72 + 72 + -20x = -20 + 72 Combine like terms: -72 + 72 = 0 0 + -20x = -20 + 72 -20x = -20 + 72 Combine like terms: -20 + 72 = 52 -20x = 52 Divide each side by '-20'. x = -2.6 Simplifying x = -2.6
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