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Simplifying -4(x + 3) + -3x = 2(x + 3) Reorder the terms: -4(3 + x) + -3x = 2(x + 3) (3 * -4 + x * -4) + -3x = 2(x + 3) (-12 + -4x) + -3x = 2(x + 3) Combine like terms: -4x + -3x = -7x -12 + -7x = 2(x + 3) Reorder the terms: -12 + -7x = 2(3 + x) -12 + -7x = (3 * 2 + x * 2) -12 + -7x = (6 + 2x) Solving -12 + -7x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -7x + -2x = 6 + 2x + -2x Combine like terms: -7x + -2x = -9x -12 + -9x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -9x = 6 + 0 -12 + -9x = 6 Add '12' to each side of the equation. -12 + 12 + -9x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 6 + 12 -9x = 6 + 12 Combine like terms: 6 + 12 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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