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Simplifying -3(x + 2) + -5x + 4 = -6(x + 12) Reorder the terms: -3(2 + x) + -5x + 4 = -6(x + 12) (2 * -3 + x * -3) + -5x + 4 = -6(x + 12) (-6 + -3x) + -5x + 4 = -6(x + 12) Reorder the terms: -6 + 4 + -3x + -5x = -6(x + 12) Combine like terms: -6 + 4 = -2 -2 + -3x + -5x = -6(x + 12) Combine like terms: -3x + -5x = -8x -2 + -8x = -6(x + 12) Reorder the terms: -2 + -8x = -6(12 + x) -2 + -8x = (12 * -6 + x * -6) -2 + -8x = (-72 + -6x) Solving -2 + -8x = -72 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -8x + 6x = -72 + -6x + 6x Combine like terms: -8x + 6x = -2x -2 + -2x = -72 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -2x = -72 + 0 -2 + -2x = -72 Add '2' to each side of the equation. -2 + 2 + -2x = -72 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -72 + 2 -2x = -72 + 2 Combine like terms: -72 + 2 = -70 -2x = -70 Divide each side by '-2'. x = 35 Simplifying x = 35
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