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Simplifying 21 + 3(x + -4) = 4(x + 5) Reorder the terms: 21 + 3(-4 + x) = 4(x + 5) 21 + (-4 * 3 + x * 3) = 4(x + 5) 21 + (-12 + 3x) = 4(x + 5) Combine like terms: 21 + -12 = 9 9 + 3x = 4(x + 5) Reorder the terms: 9 + 3x = 4(5 + x) 9 + 3x = (5 * 4 + x * 4) 9 + 3x = (20 + 4x) Solving 9 + 3x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 3x + -4x = 20 + 4x + -4x Combine like terms: 3x + -4x = -1x 9 + -1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -1x = 20 + 0 9 + -1x = 20 Add '-9' to each side of the equation. 9 + -9 + -1x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 20 + -9 -1x = 20 + -9 Combine like terms: 20 + -9 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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