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Simplifying 7 = 3(x + -2) + -1(7 + -6x) + -5x Reorder the terms: 7 = 3(-2 + x) + -1(7 + -6x) + -5x 7 = (-2 * 3 + x * 3) + -1(7 + -6x) + -5x 7 = (-6 + 3x) + -1(7 + -6x) + -5x 7 = -6 + 3x + (7 * -1 + -6x * -1) + -5x 7 = -6 + 3x + (-7 + 6x) + -5x Reorder the terms: 7 = -6 + -7 + 3x + 6x + -5x Combine like terms: -6 + -7 = -13 7 = -13 + 3x + 6x + -5x Combine like terms: 3x + 6x = 9x 7 = -13 + 9x + -5x Combine like terms: 9x + -5x = 4x 7 = -13 + 4x Solving 7 = -13 + 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. 7 + -4x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -4x = -13 + 0 7 + -4x = -13 Add '-7' to each side of the equation. 7 + -7 + -4x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -13 + -7 -4x = -13 + -7 Combine like terms: -13 + -7 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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