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Simplifying -17(x + 2) + 6(4x + -4) = 6(x + -4) + 13 Reorder the terms: -17(2 + x) + 6(4x + -4) = 6(x + -4) + 13 (2 * -17 + x * -17) + 6(4x + -4) = 6(x + -4) + 13 (-34 + -17x) + 6(4x + -4) = 6(x + -4) + 13 Reorder the terms: -34 + -17x + 6(-4 + 4x) = 6(x + -4) + 13 -34 + -17x + (-4 * 6 + 4x * 6) = 6(x + -4) + 13 -34 + -17x + (-24 + 24x) = 6(x + -4) + 13 Reorder the terms: -34 + -24 + -17x + 24x = 6(x + -4) + 13 Combine like terms: -34 + -24 = -58 -58 + -17x + 24x = 6(x + -4) + 13 Combine like terms: -17x + 24x = 7x -58 + 7x = 6(x + -4) + 13 Reorder the terms: -58 + 7x = 6(-4 + x) + 13 -58 + 7x = (-4 * 6 + x * 6) + 13 -58 + 7x = (-24 + 6x) + 13 Reorder the terms: -58 + 7x = -24 + 13 + 6x Combine like terms: -24 + 13 = -11 -58 + 7x = -11 + 6x Solving -58 + 7x = -11 + 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. -58 + 7x + -6x = -11 + 6x + -6x Combine like terms: 7x + -6x = 1x -58 + 1x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -58 + 1x = -11 + 0 -58 + 1x = -11 Add '58' to each side of the equation. -58 + 58 + 1x = -11 + 58 Combine like terms: -58 + 58 = 0 0 + 1x = -11 + 58 1x = -11 + 58 Combine like terms: -11 + 58 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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