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Simplifying 4(3x + -7) + -5 = 4(x + -3) + 27 Reorder the terms: 4(-7 + 3x) + -5 = 4(x + -3) + 27 (-7 * 4 + 3x * 4) + -5 = 4(x + -3) + 27 (-28 + 12x) + -5 = 4(x + -3) + 27 Reorder the terms: -28 + -5 + 12x = 4(x + -3) + 27 Combine like terms: -28 + -5 = -33 -33 + 12x = 4(x + -3) + 27 Reorder the terms: -33 + 12x = 4(-3 + x) + 27 -33 + 12x = (-3 * 4 + x * 4) + 27 -33 + 12x = (-12 + 4x) + 27 Reorder the terms: -33 + 12x = -12 + 27 + 4x Combine like terms: -12 + 27 = 15 -33 + 12x = 15 + 4x Solving -33 + 12x = 15 + 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. -33 + 12x + -4x = 15 + 4x + -4x Combine like terms: 12x + -4x = 8x -33 + 8x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 8x = 15 + 0 -33 + 8x = 15 Add '33' to each side of the equation. -33 + 33 + 8x = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = 15 + 33 8x = 15 + 33 Combine like terms: 15 + 33 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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