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Simplifying 4x + 6(x + -10) = 4(x + -12) Reorder the terms: 4x + 6(-10 + x) = 4(x + -12) 4x + (-10 * 6 + x * 6) = 4(x + -12) 4x + (-60 + 6x) = 4(x + -12) Reorder the terms: -60 + 4x + 6x = 4(x + -12) Combine like terms: 4x + 6x = 10x -60 + 10x = 4(x + -12) Reorder the terms: -60 + 10x = 4(-12 + x) -60 + 10x = (-12 * 4 + x * 4) -60 + 10x = (-48 + 4x) Solving -60 + 10x = -48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -60 + 10x + -4x = -48 + 4x + -4x Combine like terms: 10x + -4x = 6x -60 + 6x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -60 + 6x = -48 + 0 -60 + 6x = -48 Add '60' to each side of the equation. -60 + 60 + 6x = -48 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = -48 + 60 6x = -48 + 60 Combine like terms: -48 + 60 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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