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Simplifying 4(x + -6) + 3x + -6 = 21 Reorder the terms: 4(-6 + x) + 3x + -6 = 21 (-6 * 4 + x * 4) + 3x + -6 = 21 (-24 + 4x) + 3x + -6 = 21 Reorder the terms: -24 + -6 + 4x + 3x = 21 Combine like terms: -24 + -6 = -30 -30 + 4x + 3x = 21 Combine like terms: 4x + 3x = 7x -30 + 7x = 21 Solving -30 + 7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 7x = 21 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 21 + 30 7x = 21 + 30 Combine like terms: 21 + 30 = 51 7x = 51 Divide each side by '7'. x = 7.285714286 Simplifying x = 7.285714286
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