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Simplifying 11(x + -3) + -7(x + -2) + 2(x + -4) = 2x + 1 Reorder the terms: 11(-3 + x) + -7(x + -2) + 2(x + -4) = 2x + 1 (-3 * 11 + x * 11) + -7(x + -2) + 2(x + -4) = 2x + 1 (-33 + 11x) + -7(x + -2) + 2(x + -4) = 2x + 1 Reorder the terms: -33 + 11x + -7(-2 + x) + 2(x + -4) = 2x + 1 -33 + 11x + (-2 * -7 + x * -7) + 2(x + -4) = 2x + 1 -33 + 11x + (14 + -7x) + 2(x + -4) = 2x + 1 Reorder the terms: -33 + 11x + 14 + -7x + 2(-4 + x) = 2x + 1 -33 + 11x + 14 + -7x + (-4 * 2 + x * 2) = 2x + 1 -33 + 11x + 14 + -7x + (-8 + 2x) = 2x + 1 Reorder the terms: -33 + 14 + -8 + 11x + -7x + 2x = 2x + 1 Combine like terms: -33 + 14 = -19 -19 + -8 + 11x + -7x + 2x = 2x + 1 Combine like terms: -19 + -8 = -27 -27 + 11x + -7x + 2x = 2x + 1 Combine like terms: 11x + -7x = 4x -27 + 4x + 2x = 2x + 1 Combine like terms: 4x + 2x = 6x -27 + 6x = 2x + 1 Reorder the terms: -27 + 6x = 1 + 2x Solving -27 + 6x = 1 + 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. -27 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -27 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 4x = 1 + 0 -27 + 4x = 1 Add '27' to each side of the equation. -27 + 27 + 4x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 1 + 27 4x = 1 + 27 Combine like terms: 1 + 27 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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