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Simplifying 17 + 6(4x + -4) = 7(2x + -1) Reorder the terms: 17 + 6(-4 + 4x) = 7(2x + -1) 17 + (-4 * 6 + 4x * 6) = 7(2x + -1) 17 + (-24 + 24x) = 7(2x + -1) Combine like terms: 17 + -24 = -7 -7 + 24x = 7(2x + -1) Reorder the terms: -7 + 24x = 7(-1 + 2x) -7 + 24x = (-1 * 7 + 2x * 7) -7 + 24x = (-7 + 14x) Add '7' to each side of the equation. -7 + 7 + 24x = -7 + 7 + 14x Combine like terms: -7 + 7 = 0 0 + 24x = -7 + 7 + 14x 24x = -7 + 7 + 14x Combine like terms: -7 + 7 = 0 24x = 0 + 14x 24x = 14x Solving 24x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24x + -14x = 14x + -14x Combine like terms: 24x + -14x = 10x 10x = 14x + -14x Combine like terms: 14x + -14x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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