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Simplifying 4x + 6(x + -9) = 4(x + -12) Reorder the terms: 4x + 6(-9 + x) = 4(x + -12) 4x + (-9 * 6 + x * 6) = 4(x + -12) 4x + (-54 + 6x) = 4(x + -12) Reorder the terms: -54 + 4x + 6x = 4(x + -12) Combine like terms: 4x + 6x = 10x -54 + 10x = 4(x + -12) Reorder the terms: -54 + 10x = 4(-12 + x) -54 + 10x = (-12 * 4 + x * 4) -54 + 10x = (-48 + 4x) Solving -54 + 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. -54 + 10x + -4x = -48 + 4x + -4x Combine like terms: 10x + -4x = 6x -54 + 6x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 6x = -48 + 0 -54 + 6x = -48 Add '54' to each side of the equation. -54 + 54 + 6x = -48 + 54 Combine like terms: -54 + 54 = 0 0 + 6x = -48 + 54 6x = -48 + 54 Combine like terms: -48 + 54 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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