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Simplifying -1x + 4 + 15x = -5 + 5x + 45 Reorder the terms: 4 + -1x + 15x = -5 + 5x + 45 Combine like terms: -1x + 15x = 14x 4 + 14x = -5 + 5x + 45 Reorder the terms: 4 + 14x = -5 + 45 + 5x Combine like terms: -5 + 45 = 40 4 + 14x = 40 + 5x Solving 4 + 14x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 14x + -5x = 40 + 5x + -5x Combine like terms: 14x + -5x = 9x 4 + 9x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 9x = 40 + 0 4 + 9x = 40 Add '-4' to each side of the equation. 4 + -4 + 9x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 40 + -4 9x = 40 + -4 Combine like terms: 40 + -4 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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