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Simplifying 7(2.3 + -0.4x) = x + 1.5 (2.3 * 7 + -0.4x * 7) = x + 1.5 (16.1 + -2.8x) = x + 1.5 Reorder the terms: 16.1 + -2.8x = 1.5 + x Solving 16.1 + -2.8x = 1.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16.1 + -2.8x + -1x = 1.5 + x + -1x Combine like terms: -2.8x + -1x = -3.8x 16.1 + -3.8x = 1.5 + x + -1x Combine like terms: x + -1x = 0 16.1 + -3.8x = 1.5 + 0 16.1 + -3.8x = 1.5 Add '-16.1' to each side of the equation. 16.1 + -16.1 + -3.8x = 1.5 + -16.1 Combine like terms: 16.1 + -16.1 = 0.0 0.0 + -3.8x = 1.5 + -16.1 -3.8x = 1.5 + -16.1 Combine like terms: 1.5 + -16.1 = -14.6 -3.8x = -14.6 Divide each side by '-3.8'. x = 3.842105263 Simplifying x = 3.842105263
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