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Simplifying 1.6x + -1(x + -2.8) = (0.2x + 1.5) + -0.7 Reorder the terms: 1.6x + -1(-2.8 + x) = (0.2x + 1.5) + -0.7 1.6x + (-2.8 * -1 + x * -1) = (0.2x + 1.5) + -0.7 1.6x + (2.8 + -1x) = (0.2x + 1.5) + -0.7 Reorder the terms: 2.8 + 1.6x + -1x = (0.2x + 1.5) + -0.7 Combine like terms: 1.6x + -1x = 0.6x 2.8 + 0.6x = (0.2x + 1.5) + -0.7 Reorder the terms: 2.8 + 0.6x = (1.5 + 0.2x) + -0.7 Remove parenthesis around (1.5 + 0.2x) 2.8 + 0.6x = 1.5 + 0.2x + -0.7 Reorder the terms: 2.8 + 0.6x = 1.5 + -0.7 + 0.2x Combine like terms: 1.5 + -0.7 = 0.8 2.8 + 0.6x = 0.8 + 0.2x Solving 2.8 + 0.6x = 0.8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 2.8 + 0.6x + -0.2x = 0.8 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x 2.8 + 0.4x = 0.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 2.8 + 0.4x = 0.8 + 0.0 2.8 + 0.4x = 0.8 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.4x = 0.8 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.4x = 0.8 + -2.8 0.4x = 0.8 + -2.8 Combine like terms: 0.8 + -2.8 = -2 0.4x = -2 Divide each side by '0.4'. x = -5 Simplifying x = -5
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