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Simplifying 0.3x + -0.5(14 + -3x) = -0.1(x + -6) 0.3x + (14 * -0.5 + -3x * -0.5) = -0.1(x + -6) 0.3x + (-7 + 1.5x) = -0.1(x + -6) Reorder the terms: -7 + 0.3x + 1.5x = -0.1(x + -6) Combine like terms: 0.3x + 1.5x = 1.8x -7 + 1.8x = -0.1(x + -6) Reorder the terms: -7 + 1.8x = -0.1(-6 + x) -7 + 1.8x = (-6 * -0.1 + x * -0.1) -7 + 1.8x = (0.6 + -0.1x) Solving -7 + 1.8x = 0.6 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -7 + 1.8x + 0.1x = 0.6 + -0.1x + 0.1x Combine like terms: 1.8x + 0.1x = 1.9x -7 + 1.9x = 0.6 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -7 + 1.9x = 0.6 + 0.0 -7 + 1.9x = 0.6 Add '7' to each side of the equation. -7 + 7 + 1.9x = 0.6 + 7 Combine like terms: -7 + 7 = 0 0 + 1.9x = 0.6 + 7 1.9x = 0.6 + 7 Combine like terms: 0.6 + 7 = 7.6 1.9x = 7.6 Divide each side by '1.9'. x = 4 Simplifying x = 4
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