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Simplifying 5(3x + -8) + -2 = -33 + -15x Reorder the terms: 5(-8 + 3x) + -2 = -33 + -15x (-8 * 5 + 3x * 5) + -2 = -33 + -15x (-40 + 15x) + -2 = -33 + -15x Reorder the terms: -40 + -2 + 15x = -33 + -15x Combine like terms: -40 + -2 = -42 -42 + 15x = -33 + -15x Solving -42 + 15x = -33 + -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. -42 + 15x + 15x = -33 + -15x + 15x Combine like terms: 15x + 15x = 30x -42 + 30x = -33 + -15x + 15x Combine like terms: -15x + 15x = 0 -42 + 30x = -33 + 0 -42 + 30x = -33 Add '42' to each side of the equation. -42 + 42 + 30x = -33 + 42 Combine like terms: -42 + 42 = 0 0 + 30x = -33 + 42 30x = -33 + 42 Combine like terms: -33 + 42 = 9 30x = 9 Divide each side by '30'. x = 0.3 Simplifying x = 0.3
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