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Simplifying 4x + 45 = 10x + -15 Reorder the terms: 45 + 4x = 10x + -15 Reorder the terms: 45 + 4x = -15 + 10x Solving 45 + 4x = -15 + 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. 45 + 4x + -10x = -15 + 10x + -10x Combine like terms: 4x + -10x = -6x 45 + -6x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -6x = -15 + 0 45 + -6x = -15 Add '-45' to each side of the equation. 45 + -45 + -6x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = -15 + -45 -6x = -15 + -45 Combine like terms: -15 + -45 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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