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Simplifying 4(3x + -2) + -5 = 4(x + -4) + 43 Reorder the terms: 4(-2 + 3x) + -5 = 4(x + -4) + 43 (-2 * 4 + 3x * 4) + -5 = 4(x + -4) + 43 (-8 + 12x) + -5 = 4(x + -4) + 43 Reorder the terms: -8 + -5 + 12x = 4(x + -4) + 43 Combine like terms: -8 + -5 = -13 -13 + 12x = 4(x + -4) + 43 Reorder the terms: -13 + 12x = 4(-4 + x) + 43 -13 + 12x = (-4 * 4 + x * 4) + 43 -13 + 12x = (-16 + 4x) + 43 Reorder the terms: -13 + 12x = -16 + 43 + 4x Combine like terms: -16 + 43 = 27 -13 + 12x = 27 + 4x Solving -13 + 12x = 27 + 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. -13 + 12x + -4x = 27 + 4x + -4x Combine like terms: 12x + -4x = 8x -13 + 8x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 8x = 27 + 0 -13 + 8x = 27 Add '13' to each side of the equation. -13 + 13 + 8x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 27 + 13 8x = 27 + 13 Combine like terms: 27 + 13 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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