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Simplifying 4(x + -4) + 9(7 + -1x) = 0 Reorder the terms: 4(-4 + x) + 9(7 + -1x) = 0 (-4 * 4 + x * 4) + 9(7 + -1x) = 0 (-16 + 4x) + 9(7 + -1x) = 0 -16 + 4x + (7 * 9 + -1x * 9) = 0 -16 + 4x + (63 + -9x) = 0 Reorder the terms: -16 + 63 + 4x + -9x = 0 Combine like terms: -16 + 63 = 47 47 + 4x + -9x = 0 Combine like terms: 4x + -9x = -5x 47 + -5x = 0 Solving 47 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -5x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = 0 + -47 -5x = 0 + -47 Combine like terms: 0 + -47 = -47 -5x = -47 Divide each side by '-5'. x = 9.4 Simplifying x = 9.4
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