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Simplifying 38(35 + -4.5x) = 12(4x + -12) + 50.5 (35 * 38 + -4.5x * 38) = 12(4x + -12) + 50.5 (1330 + -171x) = 12(4x + -12) + 50.5 Reorder the terms: 1330 + -171x = 12(-12 + 4x) + 50.5 1330 + -171x = (-12 * 12 + 4x * 12) + 50.5 1330 + -171x = (-144 + 48x) + 50.5 Reorder the terms: 1330 + -171x = -144 + 50.5 + 48x Combine like terms: -144 + 50.5 = -93.5 1330 + -171x = -93.5 + 48x Solving 1330 + -171x = -93.5 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 1330 + -171x + -48x = -93.5 + 48x + -48x Combine like terms: -171x + -48x = -219x 1330 + -219x = -93.5 + 48x + -48x Combine like terms: 48x + -48x = 0 1330 + -219x = -93.5 + 0 1330 + -219x = -93.5 Add '-1330' to each side of the equation. 1330 + -1330 + -219x = -93.5 + -1330 Combine like terms: 1330 + -1330 = 0 0 + -219x = -93.5 + -1330 -219x = -93.5 + -1330 Combine like terms: -93.5 + -1330 = -1423.5 -219x = -1423.5 Divide each side by '-219'. x = 6.5 Simplifying x = 6.5
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