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Simplifying 4(3x + -8) + -13 = 8(x + -5) + 23 Reorder the terms: 4(-8 + 3x) + -13 = 8(x + -5) + 23 (-8 * 4 + 3x * 4) + -13 = 8(x + -5) + 23 (-32 + 12x) + -13 = 8(x + -5) + 23 Reorder the terms: -32 + -13 + 12x = 8(x + -5) + 23 Combine like terms: -32 + -13 = -45 -45 + 12x = 8(x + -5) + 23 Reorder the terms: -45 + 12x = 8(-5 + x) + 23 -45 + 12x = (-5 * 8 + x * 8) + 23 -45 + 12x = (-40 + 8x) + 23 Reorder the terms: -45 + 12x = -40 + 23 + 8x Combine like terms: -40 + 23 = -17 -45 + 12x = -17 + 8x Solving -45 + 12x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + 12x + -8x = -17 + 8x + -8x Combine like terms: 12x + -8x = 4x -45 + 4x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 4x = -17 + 0 -45 + 4x = -17 Add '45' to each side of the equation. -45 + 45 + 4x = -17 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -17 + 45 4x = -17 + 45 Combine like terms: -17 + 45 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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