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Simplifying 5(3x + -8) = 42 + -2(x + 1) Reorder the terms: 5(-8 + 3x) = 42 + -2(x + 1) (-8 * 5 + 3x * 5) = 42 + -2(x + 1) (-40 + 15x) = 42 + -2(x + 1) Reorder the terms: -40 + 15x = 42 + -2(1 + x) -40 + 15x = 42 + (1 * -2 + x * -2) -40 + 15x = 42 + (-2 + -2x) Combine like terms: 42 + -2 = 40 -40 + 15x = 40 + -2x Solving -40 + 15x = 40 + -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. -40 + 15x + 2x = 40 + -2x + 2x Combine like terms: 15x + 2x = 17x -40 + 17x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 17x = 40 + 0 -40 + 17x = 40 Add '40' to each side of the equation. -40 + 40 + 17x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 17x = 40 + 40 17x = 40 + 40 Combine like terms: 40 + 40 = 80 17x = 80 Divide each side by '17'. x = 4.705882353 Simplifying x = 4.705882353
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