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Simplifying 1 + 3(2x + -7) = 8 + -4(3x + 1) Reorder the terms: 1 + 3(-7 + 2x) = 8 + -4(3x + 1) 1 + (-7 * 3 + 2x * 3) = 8 + -4(3x + 1) 1 + (-21 + 6x) = 8 + -4(3x + 1) Combine like terms: 1 + -21 = -20 -20 + 6x = 8 + -4(3x + 1) Reorder the terms: -20 + 6x = 8 + -4(1 + 3x) -20 + 6x = 8 + (1 * -4 + 3x * -4) -20 + 6x = 8 + (-4 + -12x) Combine like terms: 8 + -4 = 4 -20 + 6x = 4 + -12x Solving -20 + 6x = 4 + -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. -20 + 6x + 12x = 4 + -12x + 12x Combine like terms: 6x + 12x = 18x -20 + 18x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 18x = 4 + 0 -20 + 18x = 4 Add '20' to each side of the equation. -20 + 20 + 18x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 4 + 20 18x = 4 + 20 Combine like terms: 4 + 20 = 24 18x = 24 Divide each side by '18'. x = 1.333333333 Simplifying x = 1.333333333
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