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Simplifying 4(3x + -1) = -7(-2x + 3) + 5 Reorder the terms: 4(-1 + 3x) = -7(-2x + 3) + 5 (-1 * 4 + 3x * 4) = -7(-2x + 3) + 5 (-4 + 12x) = -7(-2x + 3) + 5 Reorder the terms: -4 + 12x = -7(3 + -2x) + 5 -4 + 12x = (3 * -7 + -2x * -7) + 5 -4 + 12x = (-21 + 14x) + 5 Reorder the terms: -4 + 12x = -21 + 5 + 14x Combine like terms: -21 + 5 = -16 -4 + 12x = -16 + 14x Solving -4 + 12x = -16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -4 + 12x + -14x = -16 + 14x + -14x Combine like terms: 12x + -14x = -2x -4 + -2x = -16 + 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -2x = -16 + 0 -4 + -2x = -16 Add '4' to each side of the equation. -4 + 4 + -2x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -16 + 4 -2x = -16 + 4 Combine like terms: -16 + 4 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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