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Simplifying 0.1x + -0.7(14 + -4x) = -0.6(x + -7) 0.1x + (14 * -0.7 + -4x * -0.7) = -0.6(x + -7) 0.1x + (-9.8 + 2.8x) = -0.6(x + -7) Reorder the terms: -9.8 + 0.1x + 2.8x = -0.6(x + -7) Combine like terms: 0.1x + 2.8x = 2.9x -9.8 + 2.9x = -0.6(x + -7) Reorder the terms: -9.8 + 2.9x = -0.6(-7 + x) -9.8 + 2.9x = (-7 * -0.6 + x * -0.6) -9.8 + 2.9x = (4.2 + -0.6x) Solving -9.8 + 2.9x = 4.2 + -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. -9.8 + 2.9x + 0.6x = 4.2 + -0.6x + 0.6x Combine like terms: 2.9x + 0.6x = 3.5x -9.8 + 3.5x = 4.2 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -9.8 + 3.5x = 4.2 + 0.0 -9.8 + 3.5x = 4.2 Add '9.8' to each side of the equation. -9.8 + 9.8 + 3.5x = 4.2 + 9.8 Combine like terms: -9.8 + 9.8 = 0.0 0.0 + 3.5x = 4.2 + 9.8 3.5x = 4.2 + 9.8 Combine like terms: 4.2 + 9.8 = 14 3.5x = 14 Divide each side by '3.5'. x = 4 Simplifying x = 4
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