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Simplifying 5x + 3 + 6x + -1(4x * 3) = 21 + -5x Reorder the terms for easier multiplication: 5x + 3 + 6x + -1(4 * 3x) = 21 + -5x Multiply 4 * 3 5x + 3 + 6x + -1(12x) = 21 + -5x Remove parenthesis around (12x) 5x + 3 + 6x + -1 * 12x = 21 + -5x Multiply -1 * 12 5x + 3 + 6x + -12x = 21 + -5x Reorder the terms: 3 + 5x + 6x + -12x = 21 + -5x Combine like terms: 5x + 6x = 11x 3 + 11x + -12x = 21 + -5x Combine like terms: 11x + -12x = -1x 3 + -1x = 21 + -5x Solving 3 + -1x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + -1x + 5x = 21 + -5x + 5x Combine like terms: -1x + 5x = 4x 3 + 4x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 4x = 21 + 0 3 + 4x = 21 Add '-3' to each side of the equation. 3 + -3 + 4x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 21 + -3 4x = 21 + -3 Combine like terms: 21 + -3 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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