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Simplifying 18(2x + -3) + -11(4 + 3x) = 2(x + -50) Reorder the terms: 18(-3 + 2x) + -11(4 + 3x) = 2(x + -50) (-3 * 18 + 2x * 18) + -11(4 + 3x) = 2(x + -50) (-54 + 36x) + -11(4 + 3x) = 2(x + -50) -54 + 36x + (4 * -11 + 3x * -11) = 2(x + -50) -54 + 36x + (-44 + -33x) = 2(x + -50) Reorder the terms: -54 + -44 + 36x + -33x = 2(x + -50) Combine like terms: -54 + -44 = -98 -98 + 36x + -33x = 2(x + -50) Combine like terms: 36x + -33x = 3x -98 + 3x = 2(x + -50) Reorder the terms: -98 + 3x = 2(-50 + x) -98 + 3x = (-50 * 2 + x * 2) -98 + 3x = (-100 + 2x) Solving -98 + 3x = -100 + 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. -98 + 3x + -2x = -100 + 2x + -2x Combine like terms: 3x + -2x = 1x -98 + 1x = -100 + 2x + -2x Combine like terms: 2x + -2x = 0 -98 + 1x = -100 + 0 -98 + 1x = -100 Add '98' to each side of the equation. -98 + 98 + 1x = -100 + 98 Combine like terms: -98 + 98 = 0 0 + 1x = -100 + 98 1x = -100 + 98 Combine like terms: -100 + 98 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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