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Simplifying 7 + 4(x + -6) = 5(3x + -8) + -2 Reorder the terms: 7 + 4(-6 + x) = 5(3x + -8) + -2 7 + (-6 * 4 + x * 4) = 5(3x + -8) + -2 7 + (-24 + 4x) = 5(3x + -8) + -2 Combine like terms: 7 + -24 = -17 -17 + 4x = 5(3x + -8) + -2 Reorder the terms: -17 + 4x = 5(-8 + 3x) + -2 -17 + 4x = (-8 * 5 + 3x * 5) + -2 -17 + 4x = (-40 + 15x) + -2 Reorder the terms: -17 + 4x = -40 + -2 + 15x Combine like terms: -40 + -2 = -42 -17 + 4x = -42 + 15x Solving -17 + 4x = -42 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -17 + 4x + -15x = -42 + 15x + -15x Combine like terms: 4x + -15x = -11x -17 + -11x = -42 + 15x + -15x Combine like terms: 15x + -15x = 0 -17 + -11x = -42 + 0 -17 + -11x = -42 Add '17' to each side of the equation. -17 + 17 + -11x = -42 + 17 Combine like terms: -17 + 17 = 0 0 + -11x = -42 + 17 -11x = -42 + 17 Combine like terms: -42 + 17 = -25 -11x = -25 Divide each side by '-11'. x = 2.272727273 Simplifying x = 2.272727273
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