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Simplifying -5(8 + 6x) = -7 + 3x (8 * -5 + 6x * -5) = -7 + 3x (-40 + -30x) = -7 + 3x Solving -40 + -30x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + -30x + -3x = -7 + 3x + -3x Combine like terms: -30x + -3x = -33x -40 + -33x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + -33x = -7 + 0 -40 + -33x = -7 Add '40' to each side of the equation. -40 + 40 + -33x = -7 + 40 Combine like terms: -40 + 40 = 0 0 + -33x = -7 + 40 -33x = -7 + 40 Combine like terms: -7 + 40 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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