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Simplifying 15x + -4(4 + 3x) = -5(2x + -5) + 11 15x + (4 * -4 + 3x * -4) = -5(2x + -5) + 11 15x + (-16 + -12x) = -5(2x + -5) + 11 Reorder the terms: -16 + 15x + -12x = -5(2x + -5) + 11 Combine like terms: 15x + -12x = 3x -16 + 3x = -5(2x + -5) + 11 Reorder the terms: -16 + 3x = -5(-5 + 2x) + 11 -16 + 3x = (-5 * -5 + 2x * -5) + 11 -16 + 3x = (25 + -10x) + 11 Reorder the terms: -16 + 3x = 25 + 11 + -10x Combine like terms: 25 + 11 = 36 -16 + 3x = 36 + -10x Solving -16 + 3x = 36 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -16 + 3x + 10x = 36 + -10x + 10x Combine like terms: 3x + 10x = 13x -16 + 13x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 13x = 36 + 0 -16 + 13x = 36 Add '16' to each side of the equation. -16 + 16 + 13x = 36 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = 36 + 16 13x = 36 + 16 Combine like terms: 36 + 16 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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