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Simplifying 4(3x + -5) + 7 = 8x + 3 Reorder the terms: 4(-5 + 3x) + 7 = 8x + 3 (-5 * 4 + 3x * 4) + 7 = 8x + 3 (-20 + 12x) + 7 = 8x + 3 Reorder the terms: -20 + 7 + 12x = 8x + 3 Combine like terms: -20 + 7 = -13 -13 + 12x = 8x + 3 Reorder the terms: -13 + 12x = 3 + 8x Solving -13 + 12x = 3 + 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. -13 + 12x + -8x = 3 + 8x + -8x Combine like terms: 12x + -8x = 4x -13 + 4x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + 4x = 3 + 0 -13 + 4x = 3 Add '13' to each side of the equation. -13 + 13 + 4x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 3 + 13 4x = 3 + 13 Combine like terms: 3 + 13 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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