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