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Simplifying (4x + 8) * 6 = 2x + -6x + 21 Reorder the terms: (8 + 4x) * 6 = 2x + -6x + 21 Reorder the terms for easier multiplication: 6(8 + 4x) = 2x + -6x + 21 (8 * 6 + 4x * 6) = 2x + -6x + 21 (48 + 24x) = 2x + -6x + 21 Reorder the terms: 48 + 24x = 21 + 2x + -6x Combine like terms: 2x + -6x = -4x 48 + 24x = 21 + -4x Solving 48 + 24x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 48 + 24x + 4x = 21 + -4x + 4x Combine like terms: 24x + 4x = 28x 48 + 28x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 48 + 28x = 21 + 0 48 + 28x = 21 Add '-48' to each side of the equation. 48 + -48 + 28x = 21 + -48 Combine like terms: 48 + -48 = 0 0 + 28x = 21 + -48 28x = 21 + -48 Combine like terms: 21 + -48 = -27 28x = -27 Divide each side by '28'. x = -0.9642857143 Simplifying x = -0.9642857143
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