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Simplifying 10x + -3x + 90 = 10x + 45 Reorder the terms: 90 + 10x + -3x = 10x + 45 Combine like terms: 10x + -3x = 7x 90 + 7x = 10x + 45 Reorder the terms: 90 + 7x = 45 + 10x Solving 90 + 7x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 90 + 7x + -10x = 45 + 10x + -10x Combine like terms: 7x + -10x = -3x 90 + -3x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 90 + -3x = 45 + 0 90 + -3x = 45 Add '-90' to each side of the equation. 90 + -90 + -3x = 45 + -90 Combine like terms: 90 + -90 = 0 0 + -3x = 45 + -90 -3x = 45 + -90 Combine like terms: 45 + -90 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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