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Simplifying 13x + -103 = 4(3x + -7) Reorder the terms: -103 + 13x = 4(3x + -7) Reorder the terms: -103 + 13x = 4(-7 + 3x) -103 + 13x = (-7 * 4 + 3x * 4) -103 + 13x = (-28 + 12x) Solving -103 + 13x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -103 + 13x + -12x = -28 + 12x + -12x Combine like terms: 13x + -12x = 1x -103 + 1x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -103 + 1x = -28 + 0 -103 + 1x = -28 Add '103' to each side of the equation. -103 + 103 + 1x = -28 + 103 Combine like terms: -103 + 103 = 0 0 + 1x = -28 + 103 1x = -28 + 103 Combine like terms: -28 + 103 = 75 1x = 75 Divide each side by '1'. x = 75 Simplifying x = 75
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