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Simplifying 4(9x + -12) = 3(16x + -12) Reorder the terms: 4(-12 + 9x) = 3(16x + -12) (-12 * 4 + 9x * 4) = 3(16x + -12) (-48 + 36x) = 3(16x + -12) Reorder the terms: -48 + 36x = 3(-12 + 16x) -48 + 36x = (-12 * 3 + 16x * 3) -48 + 36x = (-36 + 48x) Solving -48 + 36x = -36 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -48 + 36x + -48x = -36 + 48x + -48x Combine like terms: 36x + -48x = -12x -48 + -12x = -36 + 48x + -48x Combine like terms: 48x + -48x = 0 -48 + -12x = -36 + 0 -48 + -12x = -36 Add '48' to each side of the equation. -48 + 48 + -12x = -36 + 48 Combine like terms: -48 + 48 = 0 0 + -12x = -36 + 48 -12x = -36 + 48 Combine like terms: -36 + 48 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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