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Simplifying 10x + -1(4x + 5) + 17 = 2x Reorder the terms: 10x + -1(5 + 4x) + 17 = 2x 10x + (5 * -1 + 4x * -1) + 17 = 2x 10x + (-5 + -4x) + 17 = 2x Reorder the terms: -5 + 17 + 10x + -4x = 2x Combine like terms: -5 + 17 = 12 12 + 10x + -4x = 2x Combine like terms: 10x + -4x = 6x 12 + 6x = 2x Solving 12 + 6x = 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. 12 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 0 Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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