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Simplifying 3x + 2 = 4(x + -48) Reorder the terms: 2 + 3x = 4(x + -48) Reorder the terms: 2 + 3x = 4(-48 + x) 2 + 3x = (-48 * 4 + x * 4) 2 + 3x = (-192 + 4x) Solving 2 + 3x = -192 + 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. 2 + 3x + -4x = -192 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -192 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -192 + 0 2 + -1x = -192 Add '-2' to each side of the equation. 2 + -2 + -1x = -192 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -192 + -2 -1x = -192 + -2 Combine like terms: -192 + -2 = -194 -1x = -194 Divide each side by '-1'. x = 194 Simplifying x = 194
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