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Simplifying 1.6(x + -2.8) = (0.2x + 1.5) + -0.7 Reorder the terms: 1.6(-2.8 + x) = (0.2x + 1.5) + -0.7 (-2.8 * 1.6 + x * 1.6) = (0.2x + 1.5) + -0.7 (-4.48 + 1.6x) = (0.2x + 1.5) + -0.7 Reorder the terms: -4.48 + 1.6x = (1.5 + 0.2x) + -0.7 Remove parenthesis around (1.5 + 0.2x) -4.48 + 1.6x = 1.5 + 0.2x + -0.7 Reorder the terms: -4.48 + 1.6x = 1.5 + -0.7 + 0.2x Combine like terms: 1.5 + -0.7 = 0.8 -4.48 + 1.6x = 0.8 + 0.2x Solving -4.48 + 1.6x = 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. -4.48 + 1.6x + -0.2x = 0.8 + 0.2x + -0.2x Combine like terms: 1.6x + -0.2x = 1.4x -4.48 + 1.4x = 0.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4.48 + 1.4x = 0.8 + 0.0 -4.48 + 1.4x = 0.8 Add '4.48' to each side of the equation. -4.48 + 4.48 + 1.4x = 0.8 + 4.48 Combine like terms: -4.48 + 4.48 = 0.00 0.00 + 1.4x = 0.8 + 4.48 1.4x = 0.8 + 4.48 Combine like terms: 0.8 + 4.48 = 5.28 1.4x = 5.28 Divide each side by '1.4'. x = 3.771428571 Simplifying x = 3.771428571
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