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Simplifying 5x + -1(-1x + -3) + 2 = 7(2x + 4) + -19 Reorder the terms: 5x + -1(-3 + -1x) + 2 = 7(2x + 4) + -19 5x + (-3 * -1 + -1x * -1) + 2 = 7(2x + 4) + -19 5x + (3 + 1x) + 2 = 7(2x + 4) + -19 Reorder the terms: 3 + 2 + 5x + 1x = 7(2x + 4) + -19 Combine like terms: 3 + 2 = 5 5 + 5x + 1x = 7(2x + 4) + -19 Combine like terms: 5x + 1x = 6x 5 + 6x = 7(2x + 4) + -19 Reorder the terms: 5 + 6x = 7(4 + 2x) + -19 5 + 6x = (4 * 7 + 2x * 7) + -19 5 + 6x = (28 + 14x) + -19 Reorder the terms: 5 + 6x = 28 + -19 + 14x Combine like terms: 28 + -19 = 9 5 + 6x = 9 + 14x Solving 5 + 6x = 9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + 6x + -14x = 9 + 14x + -14x Combine like terms: 6x + -14x = -8x 5 + -8x = 9 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + -8x = 9 + 0 5 + -8x = 9 Add '-5' to each side of the equation. 5 + -5 + -8x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 9 + -5 -8x = 9 + -5 Combine like terms: 9 + -5 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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