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Simplifying 5(3x + -4) + -2X = -3(-2x + 10) + -11 Reorder the terms: 5(-4 + 3x) + -2X = -3(-2x + 10) + -11 (-4 * 5 + 3x * 5) + -2X = -3(-2x + 10) + -11 (-20 + 15x) + -2X = -3(-2x + 10) + -11 Reorder the terms: -20 + -2X + 15x = -3(-2x + 10) + -11 Reorder the terms: -20 + -2X + 15x = -3(10 + -2x) + -11 -20 + -2X + 15x = (10 * -3 + -2x * -3) + -11 -20 + -2X + 15x = (-30 + 6x) + -11 Reorder the terms: -20 + -2X + 15x = -30 + -11 + 6x Combine like terms: -30 + -11 = -41 -20 + -2X + 15x = -41 + 6x Solving -20 + -2X + 15x = -41 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -2X + 20 + 15x = -41 + 20 + 6x Reorder the terms: -20 + 20 + -2X + 15x = -41 + 20 + 6x Combine like terms: -20 + 20 = 0 0 + -2X + 15x = -41 + 20 + 6x -2X + 15x = -41 + 20 + 6x Combine like terms: -41 + 20 = -21 -2X + 15x = -21 + 6x Add '-15x' to each side of the equation. -2X + 15x + -15x = -21 + 6x + -15x Combine like terms: 15x + -15x = 0 -2X + 0 = -21 + 6x + -15x -2X = -21 + 6x + -15x Combine like terms: 6x + -15x = -9x -2X = -21 + -9x Divide each side by '-2'. X = 10.5 + 4.5x Simplifying X = 10.5 + 4.5x
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