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Simplifying 5(9 + -1x) = -4(x + 3) + 5x (9 * 5 + -1x * 5) = -4(x + 3) + 5x (45 + -5x) = -4(x + 3) + 5x Reorder the terms: 45 + -5x = -4(3 + x) + 5x 45 + -5x = (3 * -4 + x * -4) + 5x 45 + -5x = (-12 + -4x) + 5x Combine like terms: -4x + 5x = 1x 45 + -5x = -12 + 1x Solving 45 + -5x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + -5x + -1x = -12 + 1x + -1x Combine like terms: -5x + -1x = -6x 45 + -6x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 45 + -6x = -12 + 0 45 + -6x = -12 Add '-45' to each side of the equation. 45 + -45 + -6x = -12 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = -12 + -45 -6x = -12 + -45 Combine like terms: -12 + -45 = -57 -6x = -57 Divide each side by '-6'. x = 9.5 Simplifying x = 9.5
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