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Simplifying -3(8x + 7) = 3x + -8(5 + x) Reorder the terms: -3(7 + 8x) = 3x + -8(5 + x) (7 * -3 + 8x * -3) = 3x + -8(5 + x) (-21 + -24x) = 3x + -8(5 + x) -21 + -24x = 3x + (5 * -8 + x * -8) -21 + -24x = 3x + (-40 + -8x) Reorder the terms: -21 + -24x = -40 + 3x + -8x Combine like terms: 3x + -8x = -5x -21 + -24x = -40 + -5x Solving -21 + -24x = -40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + -24x + 5x = -40 + -5x + 5x Combine like terms: -24x + 5x = -19x -21 + -19x = -40 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + -19x = -40 + 0 -21 + -19x = -40 Add '21' to each side of the equation. -21 + 21 + -19x = -40 + 21 Combine like terms: -21 + 21 = 0 0 + -19x = -40 + 21 -19x = -40 + 21 Combine like terms: -40 + 21 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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