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Simplifying 6(3x + -7) + -1(x + 9) = 3x + 5 + 10x Reorder the terms: 6(-7 + 3x) + -1(x + 9) = 3x + 5 + 10x (-7 * 6 + 3x * 6) + -1(x + 9) = 3x + 5 + 10x (-42 + 18x) + -1(x + 9) = 3x + 5 + 10x Reorder the terms: -42 + 18x + -1(9 + x) = 3x + 5 + 10x -42 + 18x + (9 * -1 + x * -1) = 3x + 5 + 10x -42 + 18x + (-9 + -1x) = 3x + 5 + 10x Reorder the terms: -42 + -9 + 18x + -1x = 3x + 5 + 10x Combine like terms: -42 + -9 = -51 -51 + 18x + -1x = 3x + 5 + 10x Combine like terms: 18x + -1x = 17x -51 + 17x = 3x + 5 + 10x Reorder the terms: -51 + 17x = 5 + 3x + 10x Combine like terms: 3x + 10x = 13x -51 + 17x = 5 + 13x Solving -51 + 17x = 5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -51 + 17x + -13x = 5 + 13x + -13x Combine like terms: 17x + -13x = 4x -51 + 4x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 -51 + 4x = 5 + 0 -51 + 4x = 5 Add '51' to each side of the equation. -51 + 51 + 4x = 5 + 51 Combine like terms: -51 + 51 = 0 0 + 4x = 5 + 51 4x = 5 + 51 Combine like terms: 5 + 51 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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