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Simplifying 7(2x + -4) + 6x + -1(15x + -30) = 0 Reorder the terms: 7(-4 + 2x) + 6x + -1(15x + -30) = 0 (-4 * 7 + 2x * 7) + 6x + -1(15x + -30) = 0 (-28 + 14x) + 6x + -1(15x + -30) = 0 Reorder the terms: -28 + 14x + 6x + -1(-30 + 15x) = 0 -28 + 14x + 6x + (-30 * -1 + 15x * -1) = 0 -28 + 14x + 6x + (30 + -15x) = 0 Reorder the terms: -28 + 30 + 14x + 6x + -15x = 0 Combine like terms: -28 + 30 = 2 2 + 14x + 6x + -15x = 0 Combine like terms: 14x + 6x = 20x 2 + 20x + -15x = 0 Combine like terms: 20x + -15x = 5x 2 + 5x = 0 Solving 2 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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