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Simplifying 3(x + -10) = 15 + -5(x + 3) Reorder the terms: 3(-10 + x) = 15 + -5(x + 3) (-10 * 3 + x * 3) = 15 + -5(x + 3) (-30 + 3x) = 15 + -5(x + 3) Reorder the terms: -30 + 3x = 15 + -5(3 + x) -30 + 3x = 15 + (3 * -5 + x * -5) -30 + 3x = 15 + (-15 + -5x) Combine like terms: 15 + -15 = 0 -30 + 3x = 0 + -5x -30 + 3x = -5x Solving -30 + 3x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + 3x + 5x = -5x + 5x Combine like terms: 3x + 5x = 8x -30 + 8x = -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 8x = 0 Add '30' to each side of the equation. -30 + 30 + 8x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 0 + 30 8x = 0 + 30 Combine like terms: 0 + 30 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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