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Simplifying 0.55x + 1.2(1.2 + 0.2) = x + -0.75(x + 0.6) Combine like terms: 1.2 + 0.2 = 1.4 0.55x + 1.2(1.4) = x + -0.75(x + 0.6) Multiply 1.2 * 1.4 0.55x + 1.68 = x + -0.75(x + 0.6) Reorder the terms: 1.68 + 0.55x = x + -0.75(x + 0.6) Reorder the terms: 1.68 + 0.55x = x + -0.75(0.6 + x) 1.68 + 0.55x = x + (0.6 * -0.75 + x * -0.75) 1.68 + 0.55x = x + (-0.45 + -0.75x) Reorder the terms: 1.68 + 0.55x = -0.45 + x + -0.75x Combine like terms: x + -0.75x = 0.25x 1.68 + 0.55x = -0.45 + 0.25x Solving 1.68 + 0.55x = -0.45 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.68 + 0.55x + -0.25x = -0.45 + 0.25x + -0.25x Combine like terms: 0.55x + -0.25x = 0.3x 1.68 + 0.3x = -0.45 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.68 + 0.3x = -0.45 + 0.00 1.68 + 0.3x = -0.45 Add '-1.68' to each side of the equation. 1.68 + -1.68 + 0.3x = -0.45 + -1.68 Combine like terms: 1.68 + -1.68 = 0.00 0.00 + 0.3x = -0.45 + -1.68 0.3x = -0.45 + -1.68 Combine like terms: -0.45 + -1.68 = -2.13 0.3x = -2.13 Divide each side by '0.3'. x = -7.1 Simplifying x = -7.1
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