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Simplifying 8(x + -5) + -10 = 4(x + 3) + 8 Reorder the terms: 8(-5 + x) + -10 = 4(x + 3) + 8 (-5 * 8 + x * 8) + -10 = 4(x + 3) + 8 (-40 + 8x) + -10 = 4(x + 3) + 8 Reorder the terms: -40 + -10 + 8x = 4(x + 3) + 8 Combine like terms: -40 + -10 = -50 -50 + 8x = 4(x + 3) + 8 Reorder the terms: -50 + 8x = 4(3 + x) + 8 -50 + 8x = (3 * 4 + x * 4) + 8 -50 + 8x = (12 + 4x) + 8 Reorder the terms: -50 + 8x = 12 + 8 + 4x Combine like terms: 12 + 8 = 20 -50 + 8x = 20 + 4x Solving -50 + 8x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -50 + 8x + -4x = 20 + 4x + -4x Combine like terms: 8x + -4x = 4x -50 + 4x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -50 + 4x = 20 + 0 -50 + 4x = 20 Add '50' to each side of the equation. -50 + 50 + 4x = 20 + 50 Combine like terms: -50 + 50 = 0 0 + 4x = 20 + 50 4x = 20 + 50 Combine like terms: 20 + 50 = 70 4x = 70 Divide each side by '4'. x = 17.5 Simplifying x = 17.5
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