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Simplifying -5(-4x + 3) + -1561 = 4(-3x + -10) + -2x Reorder the terms: -5(3 + -4x) + -1561 = 4(-3x + -10) + -2x (3 * -5 + -4x * -5) + -1561 = 4(-3x + -10) + -2x (-15 + 20x) + -1561 = 4(-3x + -10) + -2x Reorder the terms: -15 + -1561 + 20x = 4(-3x + -10) + -2x Combine like terms: -15 + -1561 = -1576 -1576 + 20x = 4(-3x + -10) + -2x Reorder the terms: -1576 + 20x = 4(-10 + -3x) + -2x -1576 + 20x = (-10 * 4 + -3x * 4) + -2x -1576 + 20x = (-40 + -12x) + -2x Combine like terms: -12x + -2x = -14x -1576 + 20x = -40 + -14x Solving -1576 + 20x = -40 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -1576 + 20x + 14x = -40 + -14x + 14x Combine like terms: 20x + 14x = 34x -1576 + 34x = -40 + -14x + 14x Combine like terms: -14x + 14x = 0 -1576 + 34x = -40 + 0 -1576 + 34x = -40 Add '1576' to each side of the equation. -1576 + 1576 + 34x = -40 + 1576 Combine like terms: -1576 + 1576 = 0 0 + 34x = -40 + 1576 34x = -40 + 1576 Combine like terms: -40 + 1576 = 1536 34x = 1536 Divide each side by '34'. x = 45.17647059 Simplifying x = 45.17647059
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