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Simplifying 3(x + -5) + -1(5x + 10) = 4x + 2(x + -3) Reorder the terms: 3(-5 + x) + -1(5x + 10) = 4x + 2(x + -3) (-5 * 3 + x * 3) + -1(5x + 10) = 4x + 2(x + -3) (-15 + 3x) + -1(5x + 10) = 4x + 2(x + -3) Reorder the terms: -15 + 3x + -1(10 + 5x) = 4x + 2(x + -3) -15 + 3x + (10 * -1 + 5x * -1) = 4x + 2(x + -3) -15 + 3x + (-10 + -5x) = 4x + 2(x + -3) Reorder the terms: -15 + -10 + 3x + -5x = 4x + 2(x + -3) Combine like terms: -15 + -10 = -25 -25 + 3x + -5x = 4x + 2(x + -3) Combine like terms: 3x + -5x = -2x -25 + -2x = 4x + 2(x + -3) Reorder the terms: -25 + -2x = 4x + 2(-3 + x) -25 + -2x = 4x + (-3 * 2 + x * 2) -25 + -2x = 4x + (-6 + 2x) Reorder the terms: -25 + -2x = -6 + 4x + 2x Combine like terms: 4x + 2x = 6x -25 + -2x = -6 + 6x Solving -25 + -2x = -6 + 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. -25 + -2x + -6x = -6 + 6x + -6x Combine like terms: -2x + -6x = -8x -25 + -8x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + -8x = -6 + 0 -25 + -8x = -6 Add '25' to each side of the equation. -25 + 25 + -8x = -6 + 25 Combine like terms: -25 + 25 = 0 0 + -8x = -6 + 25 -8x = -6 + 25 Combine like terms: -6 + 25 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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