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Simplifying 1 + 3(x + -7) = 8 + -7(x + -4) Reorder the terms: 1 + 3(-7 + x) = 8 + -7(x + -4) 1 + (-7 * 3 + x * 3) = 8 + -7(x + -4) 1 + (-21 + 3x) = 8 + -7(x + -4) Combine like terms: 1 + -21 = -20 -20 + 3x = 8 + -7(x + -4) Reorder the terms: -20 + 3x = 8 + -7(-4 + x) -20 + 3x = 8 + (-4 * -7 + x * -7) -20 + 3x = 8 + (28 + -7x) Combine like terms: 8 + 28 = 36 -20 + 3x = 36 + -7x Solving -20 + 3x = 36 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 3x + 7x = 36 + -7x + 7x Combine like terms: 3x + 7x = 10x -20 + 10x = 36 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 10x = 36 + 0 -20 + 10x = 36 Add '20' to each side of the equation. -20 + 20 + 10x = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 36 + 20 10x = 36 + 20 Combine like terms: 36 + 20 = 56 10x = 56 Divide each side by '10'. x = 5.6 Simplifying x = 5.6
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