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Simplifying -7(2x + 1) + 3(5x + -4) = 0 Reorder the terms: -7(1 + 2x) + 3(5x + -4) = 0 (1 * -7 + 2x * -7) + 3(5x + -4) = 0 (-7 + -14x) + 3(5x + -4) = 0 Reorder the terms: -7 + -14x + 3(-4 + 5x) = 0 -7 + -14x + (-4 * 3 + 5x * 3) = 0 -7 + -14x + (-12 + 15x) = 0 Reorder the terms: -7 + -12 + -14x + 15x = 0 Combine like terms: -7 + -12 = -19 -19 + -14x + 15x = 0 Combine like terms: -14x + 15x = 1x -19 + 1x = 0 Solving -19 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 0 + 19 1x = 0 + 19 Combine like terms: 0 + 19 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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