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Simplifying 5(x + -3) + 7 = 4(3x + -4) + -27 Reorder the terms: 5(-3 + x) + 7 = 4(3x + -4) + -27 (-3 * 5 + x * 5) + 7 = 4(3x + -4) + -27 (-15 + 5x) + 7 = 4(3x + -4) + -27 Reorder the terms: -15 + 7 + 5x = 4(3x + -4) + -27 Combine like terms: -15 + 7 = -8 -8 + 5x = 4(3x + -4) + -27 Reorder the terms: -8 + 5x = 4(-4 + 3x) + -27 -8 + 5x = (-4 * 4 + 3x * 4) + -27 -8 + 5x = (-16 + 12x) + -27 Reorder the terms: -8 + 5x = -16 + -27 + 12x Combine like terms: -16 + -27 = -43 -8 + 5x = -43 + 12x Solving -8 + 5x = -43 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 5x + -12x = -43 + 12x + -12x Combine like terms: 5x + -12x = -7x -8 + -7x = -43 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -7x = -43 + 0 -8 + -7x = -43 Add '8' to each side of the equation. -8 + 8 + -7x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -43 + 8 -7x = -43 + 8 Combine like terms: -43 + 8 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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