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Simplifying -3x + 5 + 6(x + 1) = -4(x + -7) Reorder the terms: -3x + 5 + 6(1 + x) = -4(x + -7) -3x + 5 + (1 * 6 + x * 6) = -4(x + -7) -3x + 5 + (6 + 6x) = -4(x + -7) Reorder the terms: 5 + 6 + -3x + 6x = -4(x + -7) Combine like terms: 5 + 6 = 11 11 + -3x + 6x = -4(x + -7) Combine like terms: -3x + 6x = 3x 11 + 3x = -4(x + -7) Reorder the terms: 11 + 3x = -4(-7 + x) 11 + 3x = (-7 * -4 + x * -4) 11 + 3x = (28 + -4x) Solving 11 + 3x = 28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 11 + 3x + 4x = 28 + -4x + 4x Combine like terms: 3x + 4x = 7x 11 + 7x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + 7x = 28 + 0 11 + 7x = 28 Add '-11' to each side of the equation. 11 + -11 + 7x = 28 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 28 + -11 7x = 28 + -11 Combine like terms: 28 + -11 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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