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Simplifying 5x + -2(5x + 6) + 3 = 3x + -5 Reorder the terms: 5x + -2(6 + 5x) + 3 = 3x + -5 5x + (6 * -2 + 5x * -2) + 3 = 3x + -5 5x + (-12 + -10x) + 3 = 3x + -5 Reorder the terms: -12 + 3 + 5x + -10x = 3x + -5 Combine like terms: -12 + 3 = -9 -9 + 5x + -10x = 3x + -5 Combine like terms: 5x + -10x = -5x -9 + -5x = 3x + -5 Reorder the terms: -9 + -5x = -5 + 3x Solving -9 + -5x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -5x + -3x = -5 + 3x + -3x Combine like terms: -5x + -3x = -8x -9 + -8x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -8x = -5 + 0 -9 + -8x = -5 Add '9' to each side of the equation. -9 + 9 + -8x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -5 + 9 -8x = -5 + 9 Combine like terms: -5 + 9 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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