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Simplifying 5(3x + -8) + 2 = 7x + -11 Reorder the terms: 5(-8 + 3x) + 2 = 7x + -11 (-8 * 5 + 3x * 5) + 2 = 7x + -11 (-40 + 15x) + 2 = 7x + -11 Reorder the terms: -40 + 2 + 15x = 7x + -11 Combine like terms: -40 + 2 = -38 -38 + 15x = 7x + -11 Reorder the terms: -38 + 15x = -11 + 7x Solving -38 + 15x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -38 + 15x + -7x = -11 + 7x + -7x Combine like terms: 15x + -7x = 8x -38 + 8x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + 8x = -11 + 0 -38 + 8x = -11 Add '38' to each side of the equation. -38 + 38 + 8x = -11 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = -11 + 38 8x = -11 + 38 Combine like terms: -11 + 38 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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