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Simplifying 2x + 4(x + -1) = 5x + -19 + 2x Reorder the terms: 2x + 4(-1 + x) = 5x + -19 + 2x 2x + (-1 * 4 + x * 4) = 5x + -19 + 2x 2x + (-4 + 4x) = 5x + -19 + 2x Reorder the terms: -4 + 2x + 4x = 5x + -19 + 2x Combine like terms: 2x + 4x = 6x -4 + 6x = 5x + -19 + 2x Reorder the terms: -4 + 6x = -19 + 5x + 2x Combine like terms: 5x + 2x = 7x -4 + 6x = -19 + 7x Solving -4 + 6x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 6x + -7x = -19 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = -19 + 0 -4 + -1x = -19 Add '4' to each side of the equation. -4 + 4 + -1x = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -19 + 4 -1x = -19 + 4 Combine like terms: -19 + 4 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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