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Simplifying -21x + 3(3x + -4) = 7(4x + -27) + -63 Reorder the terms: -21x + 3(-4 + 3x) = 7(4x + -27) + -63 -21x + (-4 * 3 + 3x * 3) = 7(4x + -27) + -63 -21x + (-12 + 9x) = 7(4x + -27) + -63 Reorder the terms: -12 + -21x + 9x = 7(4x + -27) + -63 Combine like terms: -21x + 9x = -12x -12 + -12x = 7(4x + -27) + -63 Reorder the terms: -12 + -12x = 7(-27 + 4x) + -63 -12 + -12x = (-27 * 7 + 4x * 7) + -63 -12 + -12x = (-189 + 28x) + -63 Reorder the terms: -12 + -12x = -189 + -63 + 28x Combine like terms: -189 + -63 = -252 -12 + -12x = -252 + 28x Solving -12 + -12x = -252 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -12 + -12x + -28x = -252 + 28x + -28x Combine like terms: -12x + -28x = -40x -12 + -40x = -252 + 28x + -28x Combine like terms: 28x + -28x = 0 -12 + -40x = -252 + 0 -12 + -40x = -252 Add '12' to each side of the equation. -12 + 12 + -40x = -252 + 12 Combine like terms: -12 + 12 = 0 0 + -40x = -252 + 12 -40x = -252 + 12 Combine like terms: -252 + 12 = -240 -40x = -240 Divide each side by '-40'. x = 6 Simplifying x = 6
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