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Simplifying 6(x + -7) + -4(-3x + -1) = 17(x + -2) + 10 Reorder the terms: 6(-7 + x) + -4(-3x + -1) = 17(x + -2) + 10 (-7 * 6 + x * 6) + -4(-3x + -1) = 17(x + -2) + 10 (-42 + 6x) + -4(-3x + -1) = 17(x + -2) + 10 Reorder the terms: -42 + 6x + -4(-1 + -3x) = 17(x + -2) + 10 -42 + 6x + (-1 * -4 + -3x * -4) = 17(x + -2) + 10 -42 + 6x + (4 + 12x) = 17(x + -2) + 10 Reorder the terms: -42 + 4 + 6x + 12x = 17(x + -2) + 10 Combine like terms: -42 + 4 = -38 -38 + 6x + 12x = 17(x + -2) + 10 Combine like terms: 6x + 12x = 18x -38 + 18x = 17(x + -2) + 10 Reorder the terms: -38 + 18x = 17(-2 + x) + 10 -38 + 18x = (-2 * 17 + x * 17) + 10 -38 + 18x = (-34 + 17x) + 10 Reorder the terms: -38 + 18x = -34 + 10 + 17x Combine like terms: -34 + 10 = -24 -38 + 18x = -24 + 17x Solving -38 + 18x = -24 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -38 + 18x + -17x = -24 + 17x + -17x Combine like terms: 18x + -17x = 1x -38 + 1x = -24 + 17x + -17x Combine like terms: 17x + -17x = 0 -38 + 1x = -24 + 0 -38 + 1x = -24 Add '38' to each side of the equation. -38 + 38 + 1x = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -24 + 38 1x = -24 + 38 Combine like terms: -24 + 38 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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