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Simplifying 3x + 4(-6) + -3(x + -7) = x Multiply 4 * -6 3x + -24 + -3(x + -7) = x Reorder the terms: 3x + -24 + -3(-7 + x) = x 3x + -24 + (-7 * -3 + x * -3) = x 3x + -24 + (21 + -3x) = x Reorder the terms: -24 + 21 + 3x + -3x = x Combine like terms: -24 + 21 = -3 -3 + 3x + -3x = x Combine like terms: 3x + -3x = 0 -3 + 0 = x -3 = x Solving -3 = 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. -3 + -1x = x + -1x Combine like terms: x + -1x = 0 -3 + -1x = 0 Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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