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Simplifying 18(2x + -3) + -11(4x + 3) = 2(x + -50) Reorder the terms: 18(-3 + 2x) + -11(4x + 3) = 2(x + -50) (-3 * 18 + 2x * 18) + -11(4x + 3) = 2(x + -50) (-54 + 36x) + -11(4x + 3) = 2(x + -50) Reorder the terms: -54 + 36x + -11(3 + 4x) = 2(x + -50) -54 + 36x + (3 * -11 + 4x * -11) = 2(x + -50) -54 + 36x + (-33 + -44x) = 2(x + -50) Reorder the terms: -54 + -33 + 36x + -44x = 2(x + -50) Combine like terms: -54 + -33 = -87 -87 + 36x + -44x = 2(x + -50) Combine like terms: 36x + -44x = -8x -87 + -8x = 2(x + -50) Reorder the terms: -87 + -8x = 2(-50 + x) -87 + -8x = (-50 * 2 + x * 2) -87 + -8x = (-100 + 2x) Solving -87 + -8x = -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. -87 + -8x + -2x = -100 + 2x + -2x Combine like terms: -8x + -2x = -10x -87 + -10x = -100 + 2x + -2x Combine like terms: 2x + -2x = 0 -87 + -10x = -100 + 0 -87 + -10x = -100 Add '87' to each side of the equation. -87 + 87 + -10x = -100 + 87 Combine like terms: -87 + 87 = 0 0 + -10x = -100 + 87 -10x = -100 + 87 Combine like terms: -100 + 87 = -13 -10x = -13 Divide each side by '-10'. x = 1.3 Simplifying x = 1.3
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