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Simplifying 0.7(2x + 3) = 1.1 + -1(x + 3) Reorder the terms: 0.7(3 + 2x) = 1.1 + -1(x + 3) (3 * 0.7 + 2x * 0.7) = 1.1 + -1(x + 3) (2.1 + 1.4x) = 1.1 + -1(x + 3) Reorder the terms: 2.1 + 1.4x = 1.1 + -1(3 + x) 2.1 + 1.4x = 1.1 + (3 * -1 + x * -1) 2.1 + 1.4x = 1.1 + (-3 + -1x) Combine like terms: 1.1 + -3 = -1.9 2.1 + 1.4x = -1.9 + -1x Solving 2.1 + 1.4x = -1.9 + -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 + 1.4x + x = -1.9 + -1x + x Combine like terms: 1.4x + x = 2.4x 2.1 + 2.4x = -1.9 + -1x + x Combine like terms: -1x + x = 0 2.1 + 2.4x = -1.9 + 0 2.1 + 2.4x = -1.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 2.4x = -1.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 2.4x = -1.9 + -2.1 2.4x = -1.9 + -2.1 Combine like terms: -1.9 + -2.1 = -4 2.4x = -4 Divide each side by '2.4'. x = -1.666666667 Simplifying x = -1.666666667
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