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Simplifying -15x + 4(x + -5) + 6x = 2x + -69 Reorder the terms: -15x + 4(-5 + x) + 6x = 2x + -69 -15x + (-5 * 4 + x * 4) + 6x = 2x + -69 -15x + (-20 + 4x) + 6x = 2x + -69 Reorder the terms: -20 + -15x + 4x + 6x = 2x + -69 Combine like terms: -15x + 4x = -11x -20 + -11x + 6x = 2x + -69 Combine like terms: -11x + 6x = -5x -20 + -5x = 2x + -69 Reorder the terms: -20 + -5x = -69 + 2x Solving -20 + -5x = -69 + 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 + -5x + -2x = -69 + 2x + -2x Combine like terms: -5x + -2x = -7x -20 + -7x = -69 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -7x = -69 + 0 -20 + -7x = -69 Add '20' to each side of the equation. -20 + 20 + -7x = -69 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = -69 + 20 -7x = -69 + 20 Combine like terms: -69 + 20 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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