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Simplifying 3 + 7x = 4 + 8(2x + -5) Reorder the terms: 3 + 7x = 4 + 8(-5 + 2x) 3 + 7x = 4 + (-5 * 8 + 2x * 8) 3 + 7x = 4 + (-40 + 16x) Combine like terms: 4 + -40 = -36 3 + 7x = -36 + 16x Solving 3 + 7x = -36 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 3 + 7x + -16x = -36 + 16x + -16x Combine like terms: 7x + -16x = -9x 3 + -9x = -36 + 16x + -16x Combine like terms: 16x + -16x = 0 3 + -9x = -36 + 0 3 + -9x = -36 Add '-3' to each side of the equation. 3 + -3 + -9x = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -36 + -3 -9x = -36 + -3 Combine like terms: -36 + -3 = -39 -9x = -39 Divide each side by '-9'. x = 4.333333333 Simplifying x = 4.333333333
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