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Simplifying 4(3 + 8) + -1(x + 4) = -434 Combine like terms: 3 + 8 = 11 4(11) + -1(x + 4) = -434 Multiply 4 * 11 44 + -1(x + 4) = -434 Reorder the terms: 44 + -1(4 + x) = -434 44 + (4 * -1 + x * -1) = -434 44 + (-4 + -1x) = -434 Combine like terms: 44 + -4 = 40 40 + -1x = -434 Solving 40 + -1x = -434 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = -434 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = -434 + -40 -1x = -434 + -40 Combine like terms: -434 + -40 = -474 -1x = -474 Divide each side by '-1'. x = 474 Simplifying x = 474
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