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Simplifying 7x + -3(4x + 3) = 8x + 18 Reorder the terms: 7x + -3(3 + 4x) = 8x + 18 7x + (3 * -3 + 4x * -3) = 8x + 18 7x + (-9 + -12x) = 8x + 18 Reorder the terms: -9 + 7x + -12x = 8x + 18 Combine like terms: 7x + -12x = -5x -9 + -5x = 8x + 18 Reorder the terms: -9 + -5x = 18 + 8x Solving -9 + -5x = 18 + 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. -9 + -5x + -8x = 18 + 8x + -8x Combine like terms: -5x + -8x = -13x -9 + -13x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -13x = 18 + 0 -9 + -13x = 18 Add '9' to each side of the equation. -9 + 9 + -13x = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = 18 + 9 -13x = 18 + 9 Combine like terms: 18 + 9 = 27 -13x = 27 Divide each side by '-13'. x = -2.076923077 Simplifying x = -2.076923077
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