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Simplifying -5x + 11 + -4x + 9 = x + -45 Reorder the terms: 11 + 9 + -5x + -4x = x + -45 Combine like terms: 11 + 9 = 20 20 + -5x + -4x = x + -45 Combine like terms: -5x + -4x = -9x 20 + -9x = x + -45 Reorder the terms: 20 + -9x = -45 + x Solving 20 + -9x = -45 + x 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. 20 + -9x + -1x = -45 + x + -1x Combine like terms: -9x + -1x = -10x 20 + -10x = -45 + x + -1x Combine like terms: x + -1x = 0 20 + -10x = -45 + 0 20 + -10x = -45 Add '-20' to each side of the equation. 20 + -20 + -10x = -45 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -45 + -20 -10x = -45 + -20 Combine like terms: -45 + -20 = -65 -10x = -65 Divide each side by '-10'. x = 6.5 Simplifying x = 6.5
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