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Simplifying 2(5x) + -3(4x + -5) = 4(3x + -4) + 11 Remove parenthesis around (5x) 2 * 5x + -3(4x + -5) = 4(3x + -4) + 11 Multiply 2 * 5 10x + -3(4x + -5) = 4(3x + -4) + 11 Reorder the terms: 10x + -3(-5 + 4x) = 4(3x + -4) + 11 10x + (-5 * -3 + 4x * -3) = 4(3x + -4) + 11 10x + (15 + -12x) = 4(3x + -4) + 11 Reorder the terms: 15 + 10x + -12x = 4(3x + -4) + 11 Combine like terms: 10x + -12x = -2x 15 + -2x = 4(3x + -4) + 11 Reorder the terms: 15 + -2x = 4(-4 + 3x) + 11 15 + -2x = (-4 * 4 + 3x * 4) + 11 15 + -2x = (-16 + 12x) + 11 Reorder the terms: 15 + -2x = -16 + 11 + 12x Combine like terms: -16 + 11 = -5 15 + -2x = -5 + 12x Solving 15 + -2x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + -2x + -12x = -5 + 12x + -12x Combine like terms: -2x + -12x = -14x 15 + -14x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -14x = -5 + 0 15 + -14x = -5 Add '-15' to each side of the equation. 15 + -15 + -14x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = -5 + -15 -14x = -5 + -15 Combine like terms: -5 + -15 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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