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Simplifying 3x + 4(x + -3) = 6x + -9 Reorder the terms: 3x + 4(-3 + x) = 6x + -9 3x + (-3 * 4 + x * 4) = 6x + -9 3x + (-12 + 4x) = 6x + -9 Reorder the terms: -12 + 3x + 4x = 6x + -9 Combine like terms: 3x + 4x = 7x -12 + 7x = 6x + -9 Reorder the terms: -12 + 7x = -9 + 6x Solving -12 + 7x = -9 + 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. -12 + 7x + -6x = -9 + 6x + -6x Combine like terms: 7x + -6x = 1x -12 + 1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 1x = -9 + 0 -12 + 1x = -9 Add '12' to each side of the equation. -12 + 12 + 1x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -9 + 12 1x = -9 + 12 Combine like terms: -9 + 12 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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