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Simplifying 6 + -3(2x + 2) + -3(5x + -6) = 5(x + 7) + 8x Reorder the terms: 6 + -3(2 + 2x) + -3(5x + -6) = 5(x + 7) + 8x 6 + (2 * -3 + 2x * -3) + -3(5x + -6) = 5(x + 7) + 8x 6 + (-6 + -6x) + -3(5x + -6) = 5(x + 7) + 8x Reorder the terms: 6 + -6 + -6x + -3(-6 + 5x) = 5(x + 7) + 8x 6 + -6 + -6x + (-6 * -3 + 5x * -3) = 5(x + 7) + 8x 6 + -6 + -6x + (18 + -15x) = 5(x + 7) + 8x Reorder the terms: 6 + -6 + 18 + -6x + -15x = 5(x + 7) + 8x Combine like terms: 6 + -6 = 0 0 + 18 + -6x + -15x = 5(x + 7) + 8x 18 + -6x + -15x = 5(x + 7) + 8x Combine like terms: -6x + -15x = -21x 18 + -21x = 5(x + 7) + 8x Reorder the terms: 18 + -21x = 5(7 + x) + 8x 18 + -21x = (7 * 5 + x * 5) + 8x 18 + -21x = (35 + 5x) + 8x Combine like terms: 5x + 8x = 13x 18 + -21x = 35 + 13x Solving 18 + -21x = 35 + 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. 18 + -21x + -13x = 35 + 13x + -13x Combine like terms: -21x + -13x = -34x 18 + -34x = 35 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -34x = 35 + 0 18 + -34x = 35 Add '-18' to each side of the equation. 18 + -18 + -34x = 35 + -18 Combine like terms: 18 + -18 = 0 0 + -34x = 35 + -18 -34x = 35 + -18 Combine like terms: 35 + -18 = 17 -34x = 17 Divide each side by '-34'. x = -0.5 Simplifying x = -0.5
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