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Simplifying 3x + -8(2x + 3) = -3(2x + 5) Reorder the terms: 3x + -8(3 + 2x) = -3(2x + 5) 3x + (3 * -8 + 2x * -8) = -3(2x + 5) 3x + (-24 + -16x) = -3(2x + 5) Reorder the terms: -24 + 3x + -16x = -3(2x + 5) Combine like terms: 3x + -16x = -13x -24 + -13x = -3(2x + 5) Reorder the terms: -24 + -13x = -3(5 + 2x) -24 + -13x = (5 * -3 + 2x * -3) -24 + -13x = (-15 + -6x) Solving -24 + -13x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + -13x + 6x = -15 + -6x + 6x Combine like terms: -13x + 6x = -7x -24 + -7x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + -7x = -15 + 0 -24 + -7x = -15 Add '24' to each side of the equation. -24 + 24 + -7x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = -15 + 24 -7x = -15 + 24 Combine like terms: -15 + 24 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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