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Simplifying 6(6 + 1) + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) Combine like terms: 6 + 1 = 7 6(7) + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) Multiply 6 * 7 42 + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) Reorder the terms: 42 + -2(3 + 2x) + -3x = 10 + -22x + -12(x + -1) 42 + (3 * -2 + 2x * -2) + -3x = 10 + -22x + -12(x + -1) 42 + (-6 + -4x) + -3x = 10 + -22x + -12(x + -1) Combine like terms: 42 + -6 = 36 36 + -4x + -3x = 10 + -22x + -12(x + -1) Combine like terms: -4x + -3x = -7x 36 + -7x = 10 + -22x + -12(x + -1) Reorder the terms: 36 + -7x = 10 + -22x + -12(-1 + x) 36 + -7x = 10 + -22x + (-1 * -12 + x * -12) 36 + -7x = 10 + -22x + (12 + -12x) Reorder the terms: 36 + -7x = 10 + 12 + -22x + -12x Combine like terms: 10 + 12 = 22 36 + -7x = 22 + -22x + -12x Combine like terms: -22x + -12x = -34x 36 + -7x = 22 + -34x Solving 36 + -7x = 22 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 36 + -7x + 34x = 22 + -34x + 34x Combine like terms: -7x + 34x = 27x 36 + 27x = 22 + -34x + 34x Combine like terms: -34x + 34x = 0 36 + 27x = 22 + 0 36 + 27x = 22 Add '-36' to each side of the equation. 36 + -36 + 27x = 22 + -36 Combine like terms: 36 + -36 = 0 0 + 27x = 22 + -36 27x = 22 + -36 Combine like terms: 22 + -36 = -14 27x = -14 Divide each side by '27'. x = -0.5185185185 Simplifying x = -0.5185185185
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