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Simplifying 3x + 38 = -4(6x + 6) + -4x Reorder the terms: 38 + 3x = -4(6x + 6) + -4x Reorder the terms: 38 + 3x = -4(6 + 6x) + -4x 38 + 3x = (6 * -4 + 6x * -4) + -4x 38 + 3x = (-24 + -24x) + -4x Combine like terms: -24x + -4x = -28x 38 + 3x = -24 + -28x Solving 38 + 3x = -24 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 38 + 3x + 28x = -24 + -28x + 28x Combine like terms: 3x + 28x = 31x 38 + 31x = -24 + -28x + 28x Combine like terms: -28x + 28x = 0 38 + 31x = -24 + 0 38 + 31x = -24 Add '-38' to each side of the equation. 38 + -38 + 31x = -24 + -38 Combine like terms: 38 + -38 = 0 0 + 31x = -24 + -38 31x = -24 + -38 Combine like terms: -24 + -38 = -62 31x = -62 Divide each side by '31'. x = -2 Simplifying x = -2
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