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Simplifying 2x + -1(8x + -13) + 21 = 7(x + 6) Reorder the terms: 2x + -1(-13 + 8x) + 21 = 7(x + 6) 2x + (-13 * -1 + 8x * -1) + 21 = 7(x + 6) 2x + (13 + -8x) + 21 = 7(x + 6) Reorder the terms: 13 + 21 + 2x + -8x = 7(x + 6) Combine like terms: 13 + 21 = 34 34 + 2x + -8x = 7(x + 6) Combine like terms: 2x + -8x = -6x 34 + -6x = 7(x + 6) Reorder the terms: 34 + -6x = 7(6 + x) 34 + -6x = (6 * 7 + x * 7) 34 + -6x = (42 + 7x) Solving 34 + -6x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 34 + -6x + -7x = 42 + 7x + -7x Combine like terms: -6x + -7x = -13x 34 + -13x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 34 + -13x = 42 + 0 34 + -13x = 42 Add '-34' to each side of the equation. 34 + -34 + -13x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -13x = 42 + -34 -13x = 42 + -34 Combine like terms: 42 + -34 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154
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