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Simplifying (x + 1.2) + (3.75 + 2x) + (1.05 + 2x) = x + 106 Reorder the terms: (1.2 + x) + (3.75 + 2x) + (1.05 + 2x) = x + 106 Remove parenthesis around (1.2 + x) 1.2 + x + (3.75 + 2x) + (1.05 + 2x) = x + 106 Remove parenthesis around (3.75 + 2x) 1.2 + x + 3.75 + 2x + (1.05 + 2x) = x + 106 Remove parenthesis around (1.05 + 2x) 1.2 + x + 3.75 + 2x + 1.05 + 2x = x + 106 Reorder the terms: 1.2 + 3.75 + 1.05 + x + 2x + 2x = x + 106 Combine like terms: 1.2 + 3.75 = 4.95 4.95 + 1.05 + x + 2x + 2x = x + 106 Combine like terms: 4.95 + 1.05 = 6 6 + x + 2x + 2x = x + 106 Combine like terms: x + 2x = 3x 6 + 3x + 2x = x + 106 Combine like terms: 3x + 2x = 5x 6 + 5x = x + 106 Reorder the terms: 6 + 5x = 106 + x Solving 6 + 5x = 106 + 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. 6 + 5x + -1x = 106 + x + -1x Combine like terms: 5x + -1x = 4x 6 + 4x = 106 + x + -1x Combine like terms: x + -1x = 0 6 + 4x = 106 + 0 6 + 4x = 106 Add '-6' to each side of the equation. 6 + -6 + 4x = 106 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 106 + -6 4x = 106 + -6 Combine like terms: 106 + -6 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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