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Simplifying 4(2x + -5) + -3 = 4(x + -4) + 13 Reorder the terms: 4(-5 + 2x) + -3 = 4(x + -4) + 13 (-5 * 4 + 2x * 4) + -3 = 4(x + -4) + 13 (-20 + 8x) + -3 = 4(x + -4) + 13 Reorder the terms: -20 + -3 + 8x = 4(x + -4) + 13 Combine like terms: -20 + -3 = -23 -23 + 8x = 4(x + -4) + 13 Reorder the terms: -23 + 8x = 4(-4 + x) + 13 -23 + 8x = (-4 * 4 + x * 4) + 13 -23 + 8x = (-16 + 4x) + 13 Reorder the terms: -23 + 8x = -16 + 13 + 4x Combine like terms: -16 + 13 = -3 -23 + 8x = -3 + 4x Solving -23 + 8x = -3 + 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. -23 + 8x + -4x = -3 + 4x + -4x Combine like terms: 8x + -4x = 4x -23 + 4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 4x = -3 + 0 -23 + 4x = -3 Add '23' to each side of the equation. -23 + 23 + 4x = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = -3 + 23 4x = -3 + 23 Combine like terms: -3 + 23 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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