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Simplifying 21(2x) + 1 = 18(4x + -3) Remove parenthesis around (2x) 21 * 2x + 1 = 18(4x + -3) Multiply 21 * 2 42x + 1 = 18(4x + -3) Reorder the terms: 1 + 42x = 18(4x + -3) Reorder the terms: 1 + 42x = 18(-3 + 4x) 1 + 42x = (-3 * 18 + 4x * 18) 1 + 42x = (-54 + 72x) Solving 1 + 42x = -54 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 1 + 42x + -72x = -54 + 72x + -72x Combine like terms: 42x + -72x = -30x 1 + -30x = -54 + 72x + -72x Combine like terms: 72x + -72x = 0 1 + -30x = -54 + 0 1 + -30x = -54 Add '-1' to each side of the equation. 1 + -1 + -30x = -54 + -1 Combine like terms: 1 + -1 = 0 0 + -30x = -54 + -1 -30x = -54 + -1 Combine like terms: -54 + -1 = -55 -30x = -55 Divide each side by '-30'. x = 1.833333333 Simplifying x = 1.833333333
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