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Simplifying 3.64 + -0.3(x + 0.3) = x + 0.2(0.06 + -3.55) Reorder the terms: 3.64 + -0.3(0.3 + x) = x + 0.2(0.06 + -3.55) 3.64 + (0.3 * -0.3 + x * -0.3) = x + 0.2(0.06 + -3.55) 3.64 + (-0.09 + -0.3x) = x + 0.2(0.06 + -3.55) Combine like terms: 3.64 + -0.09 = 3.55 3.55 + -0.3x = x + 0.2(0.06 + -3.55) Combine like terms: 0.06 + -3.55 = -3.49 3.55 + -0.3x = x + 0.2(-3.49) Multiply 0.2 * -3.49 3.55 + -0.3x = x + -0.698 Reorder the terms: 3.55 + -0.3x = -0.698 + x Solving 3.55 + -0.3x = -0.698 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.55 + -0.3x + -1x = -0.698 + x + -1x Combine like terms: -0.3x + -1x = -1.3x 3.55 + -1.3x = -0.698 + x + -1x Combine like terms: x + -1x = 0 3.55 + -1.3x = -0.698 + 0 3.55 + -1.3x = -0.698 Add '-3.55' to each side of the equation. 3.55 + -3.55 + -1.3x = -0.698 + -3.55 Combine like terms: 3.55 + -3.55 = 0.00 0.00 + -1.3x = -0.698 + -3.55 -1.3x = -0.698 + -3.55 Combine like terms: -0.698 + -3.55 = -4.248 -1.3x = -4.248 Divide each side by '-1.3'. x = 3.267692308 Simplifying x = 3.267692308
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