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Simplifying -7x + x + 13 = x + -1(5x + -6) Reorder the terms: 13 + -7x + x = x + -1(5x + -6) Combine like terms: -7x + x = -6x 13 + -6x = x + -1(5x + -6) Reorder the terms: 13 + -6x = x + -1(-6 + 5x) 13 + -6x = x + (-6 * -1 + 5x * -1) 13 + -6x = x + (6 + -5x) Reorder the terms: 13 + -6x = 6 + x + -5x Combine like terms: x + -5x = -4x 13 + -6x = 6 + -4x Solving 13 + -6x = 6 + -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. 13 + -6x + 4x = 6 + -4x + 4x Combine like terms: -6x + 4x = -2x 13 + -2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + -2x = 6 + 0 13 + -2x = 6 Add '-13' to each side of the equation. 13 + -13 + -2x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 6 + -13 -2x = 6 + -13 Combine like terms: 6 + -13 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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