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Simplifying 0.7x + 2.1 = 1.4(x + 2) Reorder the terms: 2.1 + 0.7x = 1.4(x + 2) Reorder the terms: 2.1 + 0.7x = 1.4(2 + x) 2.1 + 0.7x = (2 * 1.4 + x * 1.4) 2.1 + 0.7x = (2.8 + 1.4x) Solving 2.1 + 0.7x = 2.8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 2.1 + 0.7x + -1.4x = 2.8 + 1.4x + -1.4x Combine like terms: 0.7x + -1.4x = -0.7x 2.1 + -0.7x = 2.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 2.1 + -0.7x = 2.8 + 0.0 2.1 + -0.7x = 2.8 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.7x = 2.8 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.7x = 2.8 + -2.1 -0.7x = 2.8 + -2.1 Combine like terms: 2.8 + -2.1 = 0.7 -0.7x = 0.7 Divide each side by '-0.7'. x = -1 Simplifying x = -1
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