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Simplifying 1.9(x + 17) = 0.7(x + 4) Reorder the terms: 1.9(17 + x) = 0.7(x + 4) (17 * 1.9 + x * 1.9) = 0.7(x + 4) (32.3 + 1.9x) = 0.7(x + 4) Reorder the terms: 32.3 + 1.9x = 0.7(4 + x) 32.3 + 1.9x = (4 * 0.7 + x * 0.7) 32.3 + 1.9x = (2.8 + 0.7x) Solving 32.3 + 1.9x = 2.8 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 32.3 + 1.9x + -0.7x = 2.8 + 0.7x + -0.7x Combine like terms: 1.9x + -0.7x = 1.2x 32.3 + 1.2x = 2.8 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 32.3 + 1.2x = 2.8 + 0.0 32.3 + 1.2x = 2.8 Add '-32.3' to each side of the equation. 32.3 + -32.3 + 1.2x = 2.8 + -32.3 Combine like terms: 32.3 + -32.3 = 0.0 0.0 + 1.2x = 2.8 + -32.3 1.2x = 2.8 + -32.3 Combine like terms: 2.8 + -32.3 = -29.5 1.2x = -29.5 Divide each side by '1.2'. x = -24.58333333 Simplifying x = -24.58333333
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