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Simplifying 0.7(3x + 4) = 1.1 + -1(x + 4) Reorder the terms: 0.7(4 + 3x) = 1.1 + -1(x + 4) (4 * 0.7 + 3x * 0.7) = 1.1 + -1(x + 4) (2.8 + 2.1x) = 1.1 + -1(x + 4) Reorder the terms: 2.8 + 2.1x = 1.1 + -1(4 + x) 2.8 + 2.1x = 1.1 + (4 * -1 + x * -1) 2.8 + 2.1x = 1.1 + (-4 + -1x) Combine like terms: 1.1 + -4 = -2.9 2.8 + 2.1x = -2.9 + -1x Solving 2.8 + 2.1x = -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. 2.8 + 2.1x + x = -2.9 + -1x + x Combine like terms: 2.1x + x = 3.1x 2.8 + 3.1x = -2.9 + -1x + x Combine like terms: -1x + x = 0 2.8 + 3.1x = -2.9 + 0 2.8 + 3.1x = -2.9 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 3.1x = -2.9 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 3.1x = -2.9 + -2.8 3.1x = -2.9 + -2.8 Combine like terms: -2.9 + -2.8 = -5.7 3.1x = -5.7 Divide each side by '3.1'. x = -1.838709677 Simplifying x = -1.838709677
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