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Simplifying 7x + 6(x + -2) = 4x + 10(2x + 1) Reorder the terms: 7x + 6(-2 + x) = 4x + 10(2x + 1) 7x + (-2 * 6 + x * 6) = 4x + 10(2x + 1) 7x + (-12 + 6x) = 4x + 10(2x + 1) Reorder the terms: -12 + 7x + 6x = 4x + 10(2x + 1) Combine like terms: 7x + 6x = 13x -12 + 13x = 4x + 10(2x + 1) Reorder the terms: -12 + 13x = 4x + 10(1 + 2x) -12 + 13x = 4x + (1 * 10 + 2x * 10) -12 + 13x = 4x + (10 + 20x) Reorder the terms: -12 + 13x = 10 + 4x + 20x Combine like terms: 4x + 20x = 24x -12 + 13x = 10 + 24x Solving -12 + 13x = 10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 13x + -24x = 10 + 24x + -24x Combine like terms: 13x + -24x = -11x -12 + -11x = 10 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -11x = 10 + 0 -12 + -11x = 10 Add '12' to each side of the equation. -12 + 12 + -11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 10 + 12 -11x = 10 + 12 Combine like terms: 10 + 12 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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