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Simplifying 0.1x + -0.3(7 + -3x) = -0.9(x + -4) 0.1x + (7 * -0.3 + -3x * -0.3) = -0.9(x + -4) 0.1x + (-2.1 + 0.9x) = -0.9(x + -4) Reorder the terms: -2.1 + 0.1x + 0.9x = -0.9(x + -4) Combine like terms: 0.1x + 0.9x = 1x -2.1 + 1x = -0.9(x + -4) Reorder the terms: -2.1 + 1x = -0.9(-4 + x) -2.1 + 1x = (-4 * -0.9 + x * -0.9) -2.1 + 1x = (3.6 + -0.9x) Solving -2.1 + 1x = 3.6 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -2.1 + 1x + 0.9x = 3.6 + -0.9x + 0.9x Combine like terms: 1x + 0.9x = 1.9x -2.1 + 1.9x = 3.6 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -2.1 + 1.9x = 3.6 + 0.0 -2.1 + 1.9x = 3.6 Add '2.1' to each side of the equation. -2.1 + 2.1 + 1.9x = 3.6 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 1.9x = 3.6 + 2.1 1.9x = 3.6 + 2.1 Combine like terms: 3.6 + 2.1 = 5.7 1.9x = 5.7 Divide each side by '1.9'. x = 3 Simplifying x = 3
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