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Simplifying 3(x + -10) + 3(2 + -5) = 5x + -3 Reorder the terms: 3(-10 + x) + 3(2 + -5) = 5x + -3 (-10 * 3 + x * 3) + 3(2 + -5) = 5x + -3 (-30 + 3x) + 3(2 + -5) = 5x + -3 Combine like terms: 2 + -5 = -3 -30 + 3x + 3(-3) = 5x + -3 Multiply 3 * -3 -30 + 3x + -9 = 5x + -3 Reorder the terms: -30 + -9 + 3x = 5x + -3 Combine like terms: -30 + -9 = -39 -39 + 3x = 5x + -3 Reorder the terms: -39 + 3x = -3 + 5x Solving -39 + 3x = -3 + 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. -39 + 3x + -5x = -3 + 5x + -5x Combine like terms: 3x + -5x = -2x -39 + -2x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -39 + -2x = -3 + 0 -39 + -2x = -3 Add '39' to each side of the equation. -39 + 39 + -2x = -3 + 39 Combine like terms: -39 + 39 = 0 0 + -2x = -3 + 39 -2x = -3 + 39 Combine like terms: -3 + 39 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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