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Simplifying 0.7x + -0.1(15 + -2x) = -0.6(x + -5) 0.7x + (15 * -0.1 + -2x * -0.1) = -0.6(x + -5) 0.7x + (-1.5 + 0.2x) = -0.6(x + -5) Reorder the terms: -1.5 + 0.7x + 0.2x = -0.6(x + -5) Combine like terms: 0.7x + 0.2x = 0.9x -1.5 + 0.9x = -0.6(x + -5) Reorder the terms: -1.5 + 0.9x = -0.6(-5 + x) -1.5 + 0.9x = (-5 * -0.6 + x * -0.6) -1.5 + 0.9x = (3 + -0.6x) Solving -1.5 + 0.9x = 3 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -1.5 + 0.9x + 0.6x = 3 + -0.6x + 0.6x Combine like terms: 0.9x + 0.6x = 1.5x -1.5 + 1.5x = 3 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -1.5 + 1.5x = 3 + 0.0 -1.5 + 1.5x = 3 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1.5x = 3 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.5x = 3 + 1.5 1.5x = 3 + 1.5 Combine like terms: 3 + 1.5 = 4.5 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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