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Simplifying 6x + -7 = -4(x + 6) + 17 Reorder the terms: -7 + 6x = -4(x + 6) + 17 Reorder the terms: -7 + 6x = -4(6 + x) + 17 -7 + 6x = (6 * -4 + x * -4) + 17 -7 + 6x = (-24 + -4x) + 17 Reorder the terms: -7 + 6x = -24 + 17 + -4x Combine like terms: -24 + 17 = -7 -7 + 6x = -7 + -4x Add '7' to each side of the equation. -7 + 7 + 6x = -7 + 7 + -4x Combine like terms: -7 + 7 = 0 0 + 6x = -7 + 7 + -4x 6x = -7 + 7 + -4x Combine like terms: -7 + 7 = 0 6x = 0 + -4x 6x = -4x Solving 6x = -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. 6x + 4x = -4x + 4x Combine like terms: 6x + 4x = 10x 10x = -4x + 4x Combine like terms: -4x + 4x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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