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Simplifying 3x + 6(x + -10) = 3(x + -12) Reorder the terms: 3x + 6(-10 + x) = 3(x + -12) 3x + (-10 * 6 + x * 6) = 3(x + -12) 3x + (-60 + 6x) = 3(x + -12) Reorder the terms: -60 + 3x + 6x = 3(x + -12) Combine like terms: 3x + 6x = 9x -60 + 9x = 3(x + -12) Reorder the terms: -60 + 9x = 3(-12 + x) -60 + 9x = (-12 * 3 + x * 3) -60 + 9x = (-36 + 3x) Solving -60 + 9x = -36 + 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. -60 + 9x + -3x = -36 + 3x + -3x Combine like terms: 9x + -3x = 6x -60 + 6x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -60 + 6x = -36 + 0 -60 + 6x = -36 Add '60' to each side of the equation. -60 + 60 + 6x = -36 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = -36 + 60 6x = -36 + 60 Combine like terms: -36 + 60 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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