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Simplifying 3(x + -4) + -5x = 4(x + 12) Reorder the terms: 3(-4 + x) + -5x = 4(x + 12) (-4 * 3 + x * 3) + -5x = 4(x + 12) (-12 + 3x) + -5x = 4(x + 12) Combine like terms: 3x + -5x = -2x -12 + -2x = 4(x + 12) Reorder the terms: -12 + -2x = 4(12 + x) -12 + -2x = (12 * 4 + x * 4) -12 + -2x = (48 + 4x) Solving -12 + -2x = 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. -12 + -2x + -4x = 48 + 4x + -4x Combine like terms: -2x + -4x = -6x -12 + -6x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -6x = 48 + 0 -12 + -6x = 48 Add '12' to each side of the equation. -12 + 12 + -6x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 48 + 12 -6x = 48 + 12 Combine like terms: 48 + 12 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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