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Simplifying 7 + -3(2x + 5) = -1(4x + -1) Reorder the terms: 7 + -3(5 + 2x) = -1(4x + -1) 7 + (5 * -3 + 2x * -3) = -1(4x + -1) 7 + (-15 + -6x) = -1(4x + -1) Combine like terms: 7 + -15 = -8 -8 + -6x = -1(4x + -1) Reorder the terms: -8 + -6x = -1(-1 + 4x) -8 + -6x = (-1 * -1 + 4x * -1) -8 + -6x = (1 + -4x) Solving -8 + -6x = 1 + -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 + -6x + 4x = 1 + -4x + 4x Combine like terms: -6x + 4x = -2x -8 + -2x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + -2x = 1 + 0 -8 + -2x = 1 Add '8' to each side of the equation. -8 + 8 + -2x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 1 + 8 -2x = 1 + 8 Combine like terms: 1 + 8 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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