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Simplifying 4(x + -8) + 7 = 11x + -15 Reorder the terms: 4(-8 + x) + 7 = 11x + -15 (-8 * 4 + x * 4) + 7 = 11x + -15 (-32 + 4x) + 7 = 11x + -15 Reorder the terms: -32 + 7 + 4x = 11x + -15 Combine like terms: -32 + 7 = -25 -25 + 4x = 11x + -15 Reorder the terms: -25 + 4x = -15 + 11x Solving -25 + 4x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -25 + 4x + -11x = -15 + 11x + -11x Combine like terms: 4x + -11x = -7x -25 + -7x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -25 + -7x = -15 + 0 -25 + -7x = -15 Add '25' to each side of the equation. -25 + 25 + -7x = -15 + 25 Combine like terms: -25 + 25 = 0 0 + -7x = -15 + 25 -7x = -15 + 25 Combine like terms: -15 + 25 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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