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Simplifying 7 + -3x + 6 = -1(x + -4) + 5(7x + 2) Reorder the terms: 7 + 6 + -3x = -1(x + -4) + 5(7x + 2) Combine like terms: 7 + 6 = 13 13 + -3x = -1(x + -4) + 5(7x + 2) Reorder the terms: 13 + -3x = -1(-4 + x) + 5(7x + 2) 13 + -3x = (-4 * -1 + x * -1) + 5(7x + 2) 13 + -3x = (4 + -1x) + 5(7x + 2) Reorder the terms: 13 + -3x = 4 + -1x + 5(2 + 7x) 13 + -3x = 4 + -1x + (2 * 5 + 7x * 5) 13 + -3x = 4 + -1x + (10 + 35x) Reorder the terms: 13 + -3x = 4 + 10 + -1x + 35x Combine like terms: 4 + 10 = 14 13 + -3x = 14 + -1x + 35x Combine like terms: -1x + 35x = 34x 13 + -3x = 14 + 34x Solving 13 + -3x = 14 + 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. 13 + -3x + -34x = 14 + 34x + -34x Combine like terms: -3x + -34x = -37x 13 + -37x = 14 + 34x + -34x Combine like terms: 34x + -34x = 0 13 + -37x = 14 + 0 13 + -37x = 14 Add '-13' to each side of the equation. 13 + -13 + -37x = 14 + -13 Combine like terms: 13 + -13 = 0 0 + -37x = 14 + -13 -37x = 14 + -13 Combine like terms: 14 + -13 = 1 -37x = 1 Divide each side by '-37'. x = -0.02702702703 Simplifying x = -0.02702702703
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