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Simplifying 11(4x + -1) + 7(x + -3) = (x + -8) * 4 Reorder the terms: 11(-1 + 4x) + 7(x + -3) = (x + -8) * 4 (-1 * 11 + 4x * 11) + 7(x + -3) = (x + -8) * 4 (-11 + 44x) + 7(x + -3) = (x + -8) * 4 Reorder the terms: -11 + 44x + 7(-3 + x) = (x + -8) * 4 -11 + 44x + (-3 * 7 + x * 7) = (x + -8) * 4 -11 + 44x + (-21 + 7x) = (x + -8) * 4 Reorder the terms: -11 + -21 + 44x + 7x = (x + -8) * 4 Combine like terms: -11 + -21 = -32 -32 + 44x + 7x = (x + -8) * 4 Combine like terms: 44x + 7x = 51x -32 + 51x = (x + -8) * 4 Reorder the terms: -32 + 51x = (-8 + x) * 4 Reorder the terms for easier multiplication: -32 + 51x = 4(-8 + x) -32 + 51x = (-8 * 4 + x * 4) -32 + 51x = (-32 + 4x) Add '32' to each side of the equation. -32 + 32 + 51x = -32 + 32 + 4x Combine like terms: -32 + 32 = 0 0 + 51x = -32 + 32 + 4x 51x = -32 + 32 + 4x Combine like terms: -32 + 32 = 0 51x = 0 + 4x 51x = 4x Solving 51x = 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. 51x + -4x = 4x + -4x Combine like terms: 51x + -4x = 47x 47x = 4x + -4x Combine like terms: 4x + -4x = 0 47x = 0 Divide each side by '47'. x = 0 Simplifying x = 0
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