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Simplifying 3(x + -7) + 13 = 4(5 + -1x) Reorder the terms: 3(-7 + x) + 13 = 4(5 + -1x) (-7 * 3 + x * 3) + 13 = 4(5 + -1x) (-21 + 3x) + 13 = 4(5 + -1x) Reorder the terms: -21 + 13 + 3x = 4(5 + -1x) Combine like terms: -21 + 13 = -8 -8 + 3x = 4(5 + -1x) -8 + 3x = (5 * 4 + -1x * 4) -8 + 3x = (20 + -4x) Solving -8 + 3x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 3x + 4x = 20 + -4x + 4x Combine like terms: 3x + 4x = 7x -8 + 7x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 7x = 20 + 0 -8 + 7x = 20 Add '8' to each side of the equation. -8 + 8 + 7x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 20 + 8 7x = 20 + 8 Combine like terms: 20 + 8 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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