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Simplifying 0.8(2x + x) + 3(7 + -4.1x) = x + 21 Combine like terms: 2x + x = 3x 0.8(3x) + 3(7 + -4.1x) = x + 21 Remove parenthesis around (3x) 0.8 * 3x + 3(7 + -4.1x) = x + 21 Multiply 0.8 * 3 2.4x + 3(7 + -4.1x) = x + 21 2.4x + (7 * 3 + -4.1x * 3) = x + 21 2.4x + (21 + -12.3x) = x + 21 Reorder the terms: 21 + 2.4x + -12.3x = x + 21 Combine like terms: 2.4x + -12.3x = -9.9x 21 + -9.9x = x + 21 Reorder the terms: 21 + -9.9x = 21 + x Add '-21' to each side of the equation. 21 + -21 + -9.9x = 21 + -21 + x Combine like terms: 21 + -21 = 0 0 + -9.9x = 21 + -21 + x -9.9x = 21 + -21 + x Combine like terms: 21 + -21 = 0 -9.9x = 0 + x -9.9x = x Solving -9.9x = 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. -9.9x + -1x = x + -1x Combine like terms: -9.9x + -1x = -10.9x -10.9x = x + -1x Combine like terms: x + -1x = 0 -10.9x = 0 Divide each side by '-10.9'. x = 0 Simplifying x = 0
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