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Simplifying -17(x + 2) + 6(4x + -7) = 6(x + -6) + 12 Reorder the terms: -17(2 + x) + 6(4x + -7) = 6(x + -6) + 12 (2 * -17 + x * -17) + 6(4x + -7) = 6(x + -6) + 12 (-34 + -17x) + 6(4x + -7) = 6(x + -6) + 12 Reorder the terms: -34 + -17x + 6(-7 + 4x) = 6(x + -6) + 12 -34 + -17x + (-7 * 6 + 4x * 6) = 6(x + -6) + 12 -34 + -17x + (-42 + 24x) = 6(x + -6) + 12 Reorder the terms: -34 + -42 + -17x + 24x = 6(x + -6) + 12 Combine like terms: -34 + -42 = -76 -76 + -17x + 24x = 6(x + -6) + 12 Combine like terms: -17x + 24x = 7x -76 + 7x = 6(x + -6) + 12 Reorder the terms: -76 + 7x = 6(-6 + x) + 12 -76 + 7x = (-6 * 6 + x * 6) + 12 -76 + 7x = (-36 + 6x) + 12 Reorder the terms: -76 + 7x = -36 + 12 + 6x Combine like terms: -36 + 12 = -24 -76 + 7x = -24 + 6x Solving -76 + 7x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -76 + 7x + -6x = -24 + 6x + -6x Combine like terms: 7x + -6x = 1x -76 + 1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -76 + 1x = -24 + 0 -76 + 1x = -24 Add '76' to each side of the equation. -76 + 76 + 1x = -24 + 76 Combine like terms: -76 + 76 = 0 0 + 1x = -24 + 76 1x = -24 + 76 Combine like terms: -24 + 76 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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