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Simplifying 0.22(x + -4) + 0.33(x + 3) = 4 Reorder the terms: 0.22(-4 + x) + 0.33(x + 3) = 4 (-4 * 0.22 + x * 0.22) + 0.33(x + 3) = 4 (-0.88 + 0.22x) + 0.33(x + 3) = 4 Reorder the terms: -0.88 + 0.22x + 0.33(3 + x) = 4 -0.88 + 0.22x + (3 * 0.33 + x * 0.33) = 4 -0.88 + 0.22x + (0.99 + 0.33x) = 4 Reorder the terms: -0.88 + 0.99 + 0.22x + 0.33x = 4 Combine like terms: -0.88 + 0.99 = 0.11 0.11 + 0.22x + 0.33x = 4 Combine like terms: 0.22x + 0.33x = 0.55x 0.11 + 0.55x = 4 Solving 0.11 + 0.55x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11' to each side of the equation. 0.11 + -0.11 + 0.55x = 4 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + 0.55x = 4 + -0.11 0.55x = 4 + -0.11 Combine like terms: 4 + -0.11 = 3.89 0.55x = 3.89 Divide each side by '0.55'. x = 7.072727273 Simplifying x = 7.072727273
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