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Simplifying -11x + 2(x + -5) + 7x = 6x + -58 Reorder the terms: -11x + 2(-5 + x) + 7x = 6x + -58 -11x + (-5 * 2 + x * 2) + 7x = 6x + -58 -11x + (-10 + 2x) + 7x = 6x + -58 Reorder the terms: -10 + -11x + 2x + 7x = 6x + -58 Combine like terms: -11x + 2x = -9x -10 + -9x + 7x = 6x + -58 Combine like terms: -9x + 7x = -2x -10 + -2x = 6x + -58 Reorder the terms: -10 + -2x = -58 + 6x Solving -10 + -2x = -58 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + -2x + -6x = -58 + 6x + -6x Combine like terms: -2x + -6x = -8x -10 + -8x = -58 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -8x = -58 + 0 -10 + -8x = -58 Add '10' to each side of the equation. -10 + 10 + -8x = -58 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -58 + 10 -8x = -58 + 10 Combine like terms: -58 + 10 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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