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Simplifying 17 + -3(x + 5) = 6(x + 5) + -2x Reorder the terms: 17 + -3(5 + x) = 6(x + 5) + -2x 17 + (5 * -3 + x * -3) = 6(x + 5) + -2x 17 + (-15 + -3x) = 6(x + 5) + -2x Combine like terms: 17 + -15 = 2 2 + -3x = 6(x + 5) + -2x Reorder the terms: 2 + -3x = 6(5 + x) + -2x 2 + -3x = (5 * 6 + x * 6) + -2x 2 + -3x = (30 + 6x) + -2x Combine like terms: 6x + -2x = 4x 2 + -3x = 30 + 4x Solving 2 + -3x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -3x + -4x = 30 + 4x + -4x Combine like terms: -3x + -4x = -7x 2 + -7x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -7x = 30 + 0 2 + -7x = 30 Add '-2' to each side of the equation. 2 + -2 + -7x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 30 + -2 -7x = 30 + -2 Combine like terms: 30 + -2 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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