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Simplifying 3x + -8(x + 4) = -3(x + -15) + 25 Reorder the terms: 3x + -8(4 + x) = -3(x + -15) + 25 3x + (4 * -8 + x * -8) = -3(x + -15) + 25 3x + (-32 + -8x) = -3(x + -15) + 25 Reorder the terms: -32 + 3x + -8x = -3(x + -15) + 25 Combine like terms: 3x + -8x = -5x -32 + -5x = -3(x + -15) + 25 Reorder the terms: -32 + -5x = -3(-15 + x) + 25 -32 + -5x = (-15 * -3 + x * -3) + 25 -32 + -5x = (45 + -3x) + 25 Reorder the terms: -32 + -5x = 45 + 25 + -3x Combine like terms: 45 + 25 = 70 -32 + -5x = 70 + -3x Solving -32 + -5x = 70 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -32 + -5x + 3x = 70 + -3x + 3x Combine like terms: -5x + 3x = -2x -32 + -2x = 70 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + -2x = 70 + 0 -32 + -2x = 70 Add '32' to each side of the equation. -32 + 32 + -2x = 70 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 70 + 32 -2x = 70 + 32 Combine like terms: 70 + 32 = 102 -2x = 102 Divide each side by '-2'. x = -51 Simplifying x = -51
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