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Simplifying -15x + 4(x + -5) + 7x = 2x + -26 Reorder the terms: -15x + 4(-5 + x) + 7x = 2x + -26 -15x + (-5 * 4 + x * 4) + 7x = 2x + -26 -15x + (-20 + 4x) + 7x = 2x + -26 Reorder the terms: -20 + -15x + 4x + 7x = 2x + -26 Combine like terms: -15x + 4x = -11x -20 + -11x + 7x = 2x + -26 Combine like terms: -11x + 7x = -4x -20 + -4x = 2x + -26 Reorder the terms: -20 + -4x = -26 + 2x Solving -20 + -4x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + -4x + -2x = -26 + 2x + -2x Combine like terms: -4x + -2x = -6x -20 + -6x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -6x = -26 + 0 -20 + -6x = -26 Add '20' to each side of the equation. -20 + 20 + -6x = -26 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -26 + 20 -6x = -26 + 20 Combine like terms: -26 + 20 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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