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Simplifying -17(x + 1) + 6(4x + -6) = 6(x + -5) + 13 Reorder the terms: -17(1 + x) + 6(4x + -6) = 6(x + -5) + 13 (1 * -17 + x * -17) + 6(4x + -6) = 6(x + -5) + 13 (-17 + -17x) + 6(4x + -6) = 6(x + -5) + 13 Reorder the terms: -17 + -17x + 6(-6 + 4x) = 6(x + -5) + 13 -17 + -17x + (-6 * 6 + 4x * 6) = 6(x + -5) + 13 -17 + -17x + (-36 + 24x) = 6(x + -5) + 13 Reorder the terms: -17 + -36 + -17x + 24x = 6(x + -5) + 13 Combine like terms: -17 + -36 = -53 -53 + -17x + 24x = 6(x + -5) + 13 Combine like terms: -17x + 24x = 7x -53 + 7x = 6(x + -5) + 13 Reorder the terms: -53 + 7x = 6(-5 + x) + 13 -53 + 7x = (-5 * 6 + x * 6) + 13 -53 + 7x = (-30 + 6x) + 13 Reorder the terms: -53 + 7x = -30 + 13 + 6x Combine like terms: -30 + 13 = -17 -53 + 7x = -17 + 6x Solving -53 + 7x = -17 + 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. -53 + 7x + -6x = -17 + 6x + -6x Combine like terms: 7x + -6x = 1x -53 + 1x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + 1x = -17 + 0 -53 + 1x = -17 Add '53' to each side of the equation. -53 + 53 + 1x = -17 + 53 Combine like terms: -53 + 53 = 0 0 + 1x = -17 + 53 1x = -17 + 53 Combine like terms: -17 + 53 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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