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Simplifying 4 + -5(2x + 5) = 7 + -2(3x + -1) Reorder the terms: 4 + -5(5 + 2x) = 7 + -2(3x + -1) 4 + (5 * -5 + 2x * -5) = 7 + -2(3x + -1) 4 + (-25 + -10x) = 7 + -2(3x + -1) Combine like terms: 4 + -25 = -21 -21 + -10x = 7 + -2(3x + -1) Reorder the terms: -21 + -10x = 7 + -2(-1 + 3x) -21 + -10x = 7 + (-1 * -2 + 3x * -2) -21 + -10x = 7 + (2 + -6x) Combine like terms: 7 + 2 = 9 -21 + -10x = 9 + -6x Solving -21 + -10x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21 + -10x + 6x = 9 + -6x + 6x Combine like terms: -10x + 6x = -4x -21 + -4x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + -4x = 9 + 0 -21 + -4x = 9 Add '21' to each side of the equation. -21 + 21 + -4x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 9 + 21 -4x = 9 + 21 Combine like terms: 9 + 21 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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