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Simplifying 4 + -5(2x + 5) = 3(5 + -6x) Reorder the terms: 4 + -5(5 + 2x) = 3(5 + -6x) 4 + (5 * -5 + 2x * -5) = 3(5 + -6x) 4 + (-25 + -10x) = 3(5 + -6x) Combine like terms: 4 + -25 = -21 -21 + -10x = 3(5 + -6x) -21 + -10x = (5 * 3 + -6x * 3) -21 + -10x = (15 + -18x) Solving -21 + -10x = 15 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -21 + -10x + 18x = 15 + -18x + 18x Combine like terms: -10x + 18x = 8x -21 + 8x = 15 + -18x + 18x Combine like terms: -18x + 18x = 0 -21 + 8x = 15 + 0 -21 + 8x = 15 Add '21' to each side of the equation. -21 + 21 + 8x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 15 + 21 8x = 15 + 21 Combine like terms: 15 + 21 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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