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Simplifying -7x + 4 + -2(x + 1) = -1(-6x + -5) Reorder the terms: -7x + 4 + -2(1 + x) = -1(-6x + -5) -7x + 4 + (1 * -2 + x * -2) = -1(-6x + -5) -7x + 4 + (-2 + -2x) = -1(-6x + -5) Reorder the terms: 4 + -2 + -7x + -2x = -1(-6x + -5) Combine like terms: 4 + -2 = 2 2 + -7x + -2x = -1(-6x + -5) Combine like terms: -7x + -2x = -9x 2 + -9x = -1(-6x + -5) Reorder the terms: 2 + -9x = -1(-5 + -6x) 2 + -9x = (-5 * -1 + -6x * -1) 2 + -9x = (5 + 6x) Solving 2 + -9x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -9x + -6x = 5 + 6x + -6x Combine like terms: -9x + -6x = -15x 2 + -15x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -15x = 5 + 0 2 + -15x = 5 Add '-2' to each side of the equation. 2 + -2 + -15x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = 5 + -2 -15x = 5 + -2 Combine like terms: 5 + -2 = 3 -15x = 3 Divide each side by '-15'. x = -0.2 Simplifying x = -0.2
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