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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 = -2.8x 1.4 + -2.8x = 7x + 9 Reorder the terms: 1.4 + -2.8x = 9 + 7x Solving 1.4 + -2.8x = 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 + -2.8x + -7x = 9 + 7x + -7x Combine like terms: -2.8x + -7x = -9.8x 1.4 + -9.8x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 1.4 + -9.8x = 9 + 0 1.4 + -9.8x = 9 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -9.8x = 9 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -9.8x = 9 + -1.4 -9.8x = 9 + -1.4 Combine like terms: 9 + -1.4 = 7.6 -9.8x = 7.6 Divide each side by '-9.8'. x = -0.7755102041 Simplifying x = -0.7755102041
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