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