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Simplifying 0.7(4x + 3) = 1.1 + -1(x + 4) Reorder the terms: 0.7(3 + 4x) = 1.1 + -1(x + 4) (3 * 0.7 + 4x * 0.7) = 1.1 + -1(x + 4) (2.1 + 2.8x) = 1.1 + -1(x + 4) Reorder the terms: 2.1 + 2.8x = 1.1 + -1(4 + x) 2.1 + 2.8x = 1.1 + (4 * -1 + x * -1) 2.1 + 2.8x = 1.1 + (-4 + -1x) Combine like terms: 1.1 + -4 = -2.9 2.1 + 2.8x = -2.9 + -1x Solving 2.1 + 2.8x = -2.9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2.1 + 2.8x + x = -2.9 + -1x + x Combine like terms: 2.8x + x = 3.8x 2.1 + 3.8x = -2.9 + -1x + x Combine like terms: -1x + x = 0 2.1 + 3.8x = -2.9 + 0 2.1 + 3.8x = -2.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 3.8x = -2.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 3.8x = -2.9 + -2.1 3.8x = -2.9 + -2.1 Combine like terms: -2.9 + -2.1 = -5 3.8x = -5 Divide each side by '3.8'. x = -1.315789474 Simplifying x = -1.315789474
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