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Simplifying 5(2x + -7) + -3(3x + -10) + 4 = 0 Reorder the terms: 5(-7 + 2x) + -3(3x + -10) + 4 = 0 (-7 * 5 + 2x * 5) + -3(3x + -10) + 4 = 0 (-35 + 10x) + -3(3x + -10) + 4 = 0 Reorder the terms: -35 + 10x + -3(-10 + 3x) + 4 = 0 -35 + 10x + (-10 * -3 + 3x * -3) + 4 = 0 -35 + 10x + (30 + -9x) + 4 = 0 Reorder the terms: -35 + 30 + 4 + 10x + -9x = 0 Combine like terms: -35 + 30 = -5 -5 + 4 + 10x + -9x = 0 Combine like terms: -5 + 4 = -1 -1 + 10x + -9x = 0 Combine like terms: 10x + -9x = 1x -1 + 1x = 0 Solving -1 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 0 + 1 1x = 0 + 1 Combine like terms: 0 + 1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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