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Simplifying 3x + 4(x + -3) = x + -6 Reorder the terms: 3x + 4(-3 + x) = x + -6 3x + (-3 * 4 + x * 4) = x + -6 3x + (-12 + 4x) = x + -6 Reorder the terms: -12 + 3x + 4x = x + -6 Combine like terms: 3x + 4x = 7x -12 + 7x = x + -6 Reorder the terms: -12 + 7x = -6 + x Solving -12 + 7x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 7x + -1x = -6 + x + -1x Combine like terms: 7x + -1x = 6x -12 + 6x = -6 + x + -1x Combine like terms: x + -1x = 0 -12 + 6x = -6 + 0 -12 + 6x = -6 Add '12' to each side of the equation. -12 + 12 + 6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -6 + 12 6x = -6 + 12 Combine like terms: -6 + 12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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