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Simplifying 5 + -5(x + 3) = 2x + -17 Reorder the terms: 5 + -5(3 + x) = 2x + -17 5 + (3 * -5 + x * -5) = 2x + -17 5 + (-15 + -5x) = 2x + -17 Combine like terms: 5 + -15 = -10 -10 + -5x = 2x + -17 Reorder the terms: -10 + -5x = -17 + 2x Solving -10 + -5x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + -5x + -2x = -17 + 2x + -2x Combine like terms: -5x + -2x = -7x -10 + -7x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -7x = -17 + 0 -10 + -7x = -17 Add '10' to each side of the equation. -10 + 10 + -7x = -17 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -17 + 10 -7x = -17 + 10 Combine like terms: -17 + 10 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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