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Simplifying 3(x + -2) + -1 = 7(x + 5) Reorder the terms: 3(-2 + x) + -1 = 7(x + 5) (-2 * 3 + x * 3) + -1 = 7(x + 5) (-6 + 3x) + -1 = 7(x + 5) Reorder the terms: -6 + -1 + 3x = 7(x + 5) Combine like terms: -6 + -1 = -7 -7 + 3x = 7(x + 5) Reorder the terms: -7 + 3x = 7(5 + x) -7 + 3x = (5 * 7 + x * 7) -7 + 3x = (35 + 7x) Solving -7 + 3x = 35 + 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. -7 + 3x + -7x = 35 + 7x + -7x Combine like terms: 3x + -7x = -4x -7 + -4x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -4x = 35 + 0 -7 + -4x = 35 Add '7' to each side of the equation. -7 + 7 + -4x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 35 + 7 -4x = 35 + 7 Combine like terms: 35 + 7 = 42 -4x = 42 Divide each side by '-4'. x = -10.5 Simplifying x = -10.5
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