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Simplifying 0.5(x + -1) + 0.3 = 7x Reorder the terms: 0.5(-1 + x) + 0.3 = 7x (-1 * 0.5 + x * 0.5) + 0.3 = 7x (-0.5 + 0.5x) + 0.3 = 7x Reorder the terms: -0.5 + 0.3 + 0.5x = 7x Combine like terms: -0.5 + 0.3 = -0.2 -0.2 + 0.5x = 7x Solving -0.2 + 0.5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -0.2 + 0.5x + -7x = 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -0.2 + -6.5x = 7x + -7x Combine like terms: 7x + -7x = 0 -0.2 + -6.5x = 0 Add '0.2' to each side of the equation. -0.2 + 0.2 + -6.5x = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -6.5x = 0 + 0.2 -6.5x = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 -6.5x = 0.2 Divide each side by '-6.5'. x = -0.03076923077 Simplifying x = -0.03076923077
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