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Simplifying X + 5(x + -6) = 4(x + -2) + -26 Reorder the terms: X + 5(-6 + x) = 4(x + -2) + -26 X + (-6 * 5 + x * 5) = 4(x + -2) + -26 X + (-30 + 5x) = 4(x + -2) + -26 Reorder the terms: -30 + X + 5x = 4(x + -2) + -26 Reorder the terms: -30 + X + 5x = 4(-2 + x) + -26 -30 + X + 5x = (-2 * 4 + x * 4) + -26 -30 + X + 5x = (-8 + 4x) + -26 Reorder the terms: -30 + X + 5x = -8 + -26 + 4x Combine like terms: -8 + -26 = -34 -30 + X + 5x = -34 + 4x Solving -30 + X + 5x = -34 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30' to each side of the equation. -30 + X + 30 + 5x = -34 + 30 + 4x Reorder the terms: -30 + 30 + X + 5x = -34 + 30 + 4x Combine like terms: -30 + 30 = 0 0 + X + 5x = -34 + 30 + 4x X + 5x = -34 + 30 + 4x Combine like terms: -34 + 30 = -4 X + 5x = -4 + 4x Add '-5x' to each side of the equation. X + 5x + -5x = -4 + 4x + -5x Combine like terms: 5x + -5x = 0 X + 0 = -4 + 4x + -5x X = -4 + 4x + -5x Combine like terms: 4x + -5x = -1x X = -4 + -1x Simplifying X = -4 + -1x
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