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Simplifying 8 + -3(6x + 1) = 4x + -3(3x + 7) Reorder the terms: 8 + -3(1 + 6x) = 4x + -3(3x + 7) 8 + (1 * -3 + 6x * -3) = 4x + -3(3x + 7) 8 + (-3 + -18x) = 4x + -3(3x + 7) Combine like terms: 8 + -3 = 5 5 + -18x = 4x + -3(3x + 7) Reorder the terms: 5 + -18x = 4x + -3(7 + 3x) 5 + -18x = 4x + (7 * -3 + 3x * -3) 5 + -18x = 4x + (-21 + -9x) Reorder the terms: 5 + -18x = -21 + 4x + -9x Combine like terms: 4x + -9x = -5x 5 + -18x = -21 + -5x Solving 5 + -18x = -21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + -18x + 5x = -21 + -5x + 5x Combine like terms: -18x + 5x = -13x 5 + -13x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + -13x = -21 + 0 5 + -13x = -21 Add '-5' to each side of the equation. 5 + -5 + -13x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = -21 + -5 -13x = -21 + -5 Combine like terms: -21 + -5 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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