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Simplifying 1.5x + 6 + 1.5x = x + 3x + 0.06(1.5x + 6) + 0.06(1.5x) Reorder the terms: 6 + 1.5x + 1.5x = x + 3x + 0.06(1.5x + 6) + 0.06(1.5x) Combine like terms: 1.5x + 1.5x = 3x 6 + 3x = x + 3x + 0.06(1.5x + 6) + 0.06(1.5x) Reorder the terms: 6 + 3x = x + 3x + 0.06(6 + 1.5x) + 0.06(1.5x) 6 + 3x = x + 3x + (6 * 0.06 + 1.5x * 0.06) + 0.06(1.5x) 6 + 3x = x + 3x + (0.36 + 0.09x) + 0.06(1.5x) Remove parenthesis around (1.5x) 6 + 3x = x + 3x + 0.36 + 0.09x + 0.06 * 1.5x Multiply 0.06 * 1.5 6 + 3x = x + 3x + 0.36 + 0.09x + 0.09x Reorder the terms: 6 + 3x = 0.36 + x + 3x + 0.09x + 0.09x Combine like terms: x + 3x = 4x 6 + 3x = 0.36 + 4x + 0.09x + 0.09x Combine like terms: 4x + 0.09x = 4.09x 6 + 3x = 0.36 + 4.09x + 0.09x Combine like terms: 4.09x + 0.09x = 4.18x 6 + 3x = 0.36 + 4.18x Solving 6 + 3x = 0.36 + 4.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.18x' to each side of the equation. 6 + 3x + -4.18x = 0.36 + 4.18x + -4.18x Combine like terms: 3x + -4.18x = -1.18x 6 + -1.18x = 0.36 + 4.18x + -4.18x Combine like terms: 4.18x + -4.18x = 0.00 6 + -1.18x = 0.36 + 0.00 6 + -1.18x = 0.36 Add '-6' to each side of the equation. 6 + -6 + -1.18x = 0.36 + -6 Combine like terms: 6 + -6 = 0 0 + -1.18x = 0.36 + -6 -1.18x = 0.36 + -6 Combine like terms: 0.36 + -6 = -5.64 -1.18x = -5.64 Divide each side by '-1.18'. x = 4.779661017 Simplifying x = 4.779661017
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