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Simplifying -0.1(2x + 14) + -3x = -7x + 9 Reorder the terms: -0.1(14 + 2x) + -3x = -7x + 9 (14 * -0.1 + 2x * -0.1) + -3x = -7x + 9 (-1.4 + -0.2x) + -3x = -7x + 9 Combine like terms: -0.2x + -3x = -3.2x -1.4 + -3.2x = -7x + 9 Reorder the terms: -1.4 + -3.2x = 9 + -7x Solving -1.4 + -3.2x = 9 + -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. -1.4 + -3.2x + 7x = 9 + -7x + 7x Combine like terms: -3.2x + 7x = 3.8x -1.4 + 3.8x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 -1.4 + 3.8x = 9 + 0 -1.4 + 3.8x = 9 Add '1.4' to each side of the equation. -1.4 + 1.4 + 3.8x = 9 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 3.8x = 9 + 1.4 3.8x = 9 + 1.4 Combine like terms: 9 + 1.4 = 10.4 3.8x = 10.4 Divide each side by '3.8'. x = 2.736842105 Simplifying x = 2.736842105
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