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Simplifying -5 + 4(x + -2) = 19 + -4x Reorder the terms: -5 + 4(-2 + x) = 19 + -4x -5 + (-2 * 4 + x * 4) = 19 + -4x -5 + (-8 + 4x) = 19 + -4x Combine like terms: -5 + -8 = -13 -13 + 4x = 19 + -4x Solving -13 + 4x = 19 + -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 + 4x + 4x = 19 + -4x + 4x Combine like terms: 4x + 4x = 8x -13 + 8x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 8x = 19 + 0 -13 + 8x = 19 Add '13' to each side of the equation. -13 + 13 + 8x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 19 + 13 8x = 19 + 13 Combine like terms: 19 + 13 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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