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Simplifying 5(x + 1) + -3x = -19 + 2(4 + -3x) Reorder the terms: 5(1 + x) + -3x = -19 + 2(4 + -3x) (1 * 5 + x * 5) + -3x = -19 + 2(4 + -3x) (5 + 5x) + -3x = -19 + 2(4 + -3x) Combine like terms: 5x + -3x = 2x 5 + 2x = -19 + 2(4 + -3x) 5 + 2x = -19 + (4 * 2 + -3x * 2) 5 + 2x = -19 + (8 + -6x) Combine like terms: -19 + 8 = -11 5 + 2x = -11 + -6x Solving 5 + 2x = -11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 2x + 6x = -11 + -6x + 6x Combine like terms: 2x + 6x = 8x 5 + 8x = -11 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 8x = -11 + 0 5 + 8x = -11 Add '-5' to each side of the equation. 5 + -5 + 8x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = -11 + -5 8x = -11 + -5 Combine like terms: -11 + -5 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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