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Simplifying -7(2x + 5) + 5(3x + -4) + -4 = 4 + -5 Reorder the terms: -7(5 + 2x) + 5(3x + -4) + -4 = 4 + -5 (5 * -7 + 2x * -7) + 5(3x + -4) + -4 = 4 + -5 (-35 + -14x) + 5(3x + -4) + -4 = 4 + -5 Reorder the terms: -35 + -14x + 5(-4 + 3x) + -4 = 4 + -5 -35 + -14x + (-4 * 5 + 3x * 5) + -4 = 4 + -5 -35 + -14x + (-20 + 15x) + -4 = 4 + -5 Reorder the terms: -35 + -20 + -4 + -14x + 15x = 4 + -5 Combine like terms: -35 + -20 = -55 -55 + -4 + -14x + 15x = 4 + -5 Combine like terms: -55 + -4 = -59 -59 + -14x + 15x = 4 + -5 Combine like terms: -14x + 15x = 1x -59 + 1x = 4 + -5 Combine like terms: 4 + -5 = -1 -59 + 1x = -1 Solving -59 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 1x = -1 + 59 Combine like terms: -59 + 59 = 0 0 + 1x = -1 + 59 1x = -1 + 59 Combine like terms: -1 + 59 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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