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Simplifying -3x + -4(3 + -4x) = 4(x + -3) + -45 -3x + (3 * -4 + -4x * -4) = 4(x + -3) + -45 -3x + (-12 + 16x) = 4(x + -3) + -45 Reorder the terms: -12 + -3x + 16x = 4(x + -3) + -45 Combine like terms: -3x + 16x = 13x -12 + 13x = 4(x + -3) + -45 Reorder the terms: -12 + 13x = 4(-3 + x) + -45 -12 + 13x = (-3 * 4 + x * 4) + -45 -12 + 13x = (-12 + 4x) + -45 Reorder the terms: -12 + 13x = -12 + -45 + 4x Combine like terms: -12 + -45 = -57 -12 + 13x = -57 + 4x Solving -12 + 13x = -57 + 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. -12 + 13x + -4x = -57 + 4x + -4x Combine like terms: 13x + -4x = 9x -12 + 9x = -57 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 9x = -57 + 0 -12 + 9x = -57 Add '12' to each side of the equation. -12 + 12 + 9x = -57 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -57 + 12 9x = -57 + 12 Combine like terms: -57 + 12 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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