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Simplifying 5 + -10x = 15(x + -3) Reorder the terms: 5 + -10x = 15(-3 + x) 5 + -10x = (-3 * 15 + x * 15) 5 + -10x = (-45 + 15x) Solving 5 + -10x = -45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + -10x + -15x = -45 + 15x + -15x Combine like terms: -10x + -15x = -25x 5 + -25x = -45 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -25x = -45 + 0 5 + -25x = -45 Add '-5' to each side of the equation. 5 + -5 + -25x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -25x = -45 + -5 -25x = -45 + -5 Combine like terms: -45 + -5 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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