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Simplifying -2x + -3(-4x + 4) + 19 = 5x + 27 Reorder the terms: -2x + -3(4 + -4x) + 19 = 5x + 27 -2x + (4 * -3 + -4x * -3) + 19 = 5x + 27 -2x + (-12 + 12x) + 19 = 5x + 27 Reorder the terms: -12 + 19 + -2x + 12x = 5x + 27 Combine like terms: -12 + 19 = 7 7 + -2x + 12x = 5x + 27 Combine like terms: -2x + 12x = 10x 7 + 10x = 5x + 27 Reorder the terms: 7 + 10x = 27 + 5x Solving 7 + 10x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 10x + -5x = 27 + 5x + -5x Combine like terms: 10x + -5x = 5x 7 + 5x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 5x = 27 + 0 7 + 5x = 27 Add '-7' to each side of the equation. 7 + -7 + 5x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 27 + -7 5x = 27 + -7 Combine like terms: 27 + -7 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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