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Simplifying 3(4x + -15) = 4(1 + x) Reorder the terms: 3(-15 + 4x) = 4(1 + x) (-15 * 3 + 4x * 3) = 4(1 + x) (-45 + 12x) = 4(1 + x) -45 + 12x = (1 * 4 + x * 4) -45 + 12x = (4 + 4x) Solving -45 + 12x = 4 + 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. -45 + 12x + -4x = 4 + 4x + -4x Combine like terms: 12x + -4x = 8x -45 + 8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 8x = 4 + 0 -45 + 8x = 4 Add '45' to each side of the equation. -45 + 45 + 8x = 4 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 4 + 45 8x = 4 + 45 Combine like terms: 4 + 45 = 49 8x = 49 Divide each side by '8'. x = 6.125 Simplifying x = 6.125
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