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Simplifying 3(x + -4) + 5 = 8x + -43 Reorder the terms: 3(-4 + x) + 5 = 8x + -43 (-4 * 3 + x * 3) + 5 = 8x + -43 (-12 + 3x) + 5 = 8x + -43 Reorder the terms: -12 + 5 + 3x = 8x + -43 Combine like terms: -12 + 5 = -7 -7 + 3x = 8x + -43 Reorder the terms: -7 + 3x = -43 + 8x Solving -7 + 3x = -43 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 3x + -8x = -43 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = -43 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = -43 + 0 -7 + -5x = -43 Add '7' to each side of the equation. -7 + 7 + -5x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -43 + 7 -5x = -43 + 7 Combine like terms: -43 + 7 = -36 -5x = -36 Divide each side by '-5'. x = 7.2 Simplifying x = 7.2
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