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Simplifying 4(x + -4) + 3x + -6 = 21 Reorder the terms: 4(-4 + x) + 3x + -6 = 21 (-4 * 4 + x * 4) + 3x + -6 = 21 (-16 + 4x) + 3x + -6 = 21 Reorder the terms: -16 + -6 + 4x + 3x = 21 Combine like terms: -16 + -6 = -22 -22 + 4x + 3x = 21 Combine like terms: 4x + 3x = 7x -22 + 7x = 21 Solving -22 + 7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 7x = 21 + 22 Combine like terms: -22 + 22 = 0 0 + 7x = 21 + 22 7x = 21 + 22 Combine like terms: 21 + 22 = 43 7x = 43 Divide each side by '7'. x = 6.142857143 Simplifying x = 6.142857143
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