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Simplifying 6x + 5(x + 2) = 4(4x + -10) Reorder the terms: 6x + 5(2 + x) = 4(4x + -10) 6x + (2 * 5 + x * 5) = 4(4x + -10) 6x + (10 + 5x) = 4(4x + -10) Reorder the terms: 10 + 6x + 5x = 4(4x + -10) Combine like terms: 6x + 5x = 11x 10 + 11x = 4(4x + -10) Reorder the terms: 10 + 11x = 4(-10 + 4x) 10 + 11x = (-10 * 4 + 4x * 4) 10 + 11x = (-40 + 16x) Solving 10 + 11x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 10 + 11x + -16x = -40 + 16x + -16x Combine like terms: 11x + -16x = -5x 10 + -5x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + -5x = -40 + 0 10 + -5x = -40 Add '-10' to each side of the equation. 10 + -10 + -5x = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -40 + -10 -5x = -40 + -10 Combine like terms: -40 + -10 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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