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Simplifying -10(x + 3) + 5(3x + -3) = 4(x + -5) + 11 Reorder the terms: -10(3 + x) + 5(3x + -3) = 4(x + -5) + 11 (3 * -10 + x * -10) + 5(3x + -3) = 4(x + -5) + 11 (-30 + -10x) + 5(3x + -3) = 4(x + -5) + 11 Reorder the terms: -30 + -10x + 5(-3 + 3x) = 4(x + -5) + 11 -30 + -10x + (-3 * 5 + 3x * 5) = 4(x + -5) + 11 -30 + -10x + (-15 + 15x) = 4(x + -5) + 11 Reorder the terms: -30 + -15 + -10x + 15x = 4(x + -5) + 11 Combine like terms: -30 + -15 = -45 -45 + -10x + 15x = 4(x + -5) + 11 Combine like terms: -10x + 15x = 5x -45 + 5x = 4(x + -5) + 11 Reorder the terms: -45 + 5x = 4(-5 + x) + 11 -45 + 5x = (-5 * 4 + x * 4) + 11 -45 + 5x = (-20 + 4x) + 11 Reorder the terms: -45 + 5x = -20 + 11 + 4x Combine like terms: -20 + 11 = -9 -45 + 5x = -9 + 4x Solving -45 + 5x = -9 + 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. -45 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x -45 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 1x = -9 + 0 -45 + 1x = -9 Add '45' to each side of the equation. -45 + 45 + 1x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -9 + 45 1x = -9 + 45 Combine like terms: -9 + 45 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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