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Simplifying x + 4(x + -3) = 2(x + -6) + 9 Reorder the terms: x + 4(-3 + x) = 2(x + -6) + 9 x + (-3 * 4 + x * 4) = 2(x + -6) + 9 x + (-12 + 4x) = 2(x + -6) + 9 Reorder the terms: -12 + x + 4x = 2(x + -6) + 9 Combine like terms: x + 4x = 5x -12 + 5x = 2(x + -6) + 9 Reorder the terms: -12 + 5x = 2(-6 + x) + 9 -12 + 5x = (-6 * 2 + x * 2) + 9 -12 + 5x = (-12 + 2x) + 9 Reorder the terms: -12 + 5x = -12 + 9 + 2x Combine like terms: -12 + 9 = -3 -12 + 5x = -3 + 2x Solving -12 + 5x = -3 + 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 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = -3 + 0 -12 + 3x = -3 Add '12' to each side of the equation. -12 + 12 + 3x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -3 + 12 3x = -3 + 12 Combine like terms: -3 + 12 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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