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Simplifying 3(x + 10) = 0.3333(6x + -21) * 3 Reorder the terms: 3(10 + x) = 0.3333(6x + -21) * 3 (10 * 3 + x * 3) = 0.3333(6x + -21) * 3 (30 + 3x) = 0.3333(6x + -21) * 3 Reorder the terms: 30 + 3x = 0.3333(-21 + 6x) * 3 Reorder the terms for easier multiplication: 30 + 3x = 0.3333 * 3(-21 + 6x) Multiply 0.3333 * 3 30 + 3x = 0.9999(-21 + 6x) 30 + 3x = (-21 * 0.9999 + 6x * 0.9999) 30 + 3x = (-20.9979 + 5.9994x) Solving 30 + 3x = -20.9979 + 5.9994x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.9994x' to each side of the equation. 30 + 3x + -5.9994x = -20.9979 + 5.9994x + -5.9994x Combine like terms: 3x + -5.9994x = -2.9994x 30 + -2.9994x = -20.9979 + 5.9994x + -5.9994x Combine like terms: 5.9994x + -5.9994x = 0.0000 30 + -2.9994x = -20.9979 + 0.0000 30 + -2.9994x = -20.9979 Add '-30' to each side of the equation. 30 + -30 + -2.9994x = -20.9979 + -30 Combine like terms: 30 + -30 = 0 0 + -2.9994x = -20.9979 + -30 -2.9994x = -20.9979 + -30 Combine like terms: -20.9979 + -30 = -50.9979 -2.9994x = -50.9979 Divide each side by '-2.9994'. x = 17.00270054 Simplifying x = 17.00270054
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