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Simplifying 2(x + -3) + 5(x + 1) = 3 + -2(-3x + 4) Reorder the terms: 2(-3 + x) + 5(x + 1) = 3 + -2(-3x + 4) (-3 * 2 + x * 2) + 5(x + 1) = 3 + -2(-3x + 4) (-6 + 2x) + 5(x + 1) = 3 + -2(-3x + 4) Reorder the terms: -6 + 2x + 5(1 + x) = 3 + -2(-3x + 4) -6 + 2x + (1 * 5 + x * 5) = 3 + -2(-3x + 4) -6 + 2x + (5 + 5x) = 3 + -2(-3x + 4) Reorder the terms: -6 + 5 + 2x + 5x = 3 + -2(-3x + 4) Combine like terms: -6 + 5 = -1 -1 + 2x + 5x = 3 + -2(-3x + 4) Combine like terms: 2x + 5x = 7x -1 + 7x = 3 + -2(-3x + 4) Reorder the terms: -1 + 7x = 3 + -2(4 + -3x) -1 + 7x = 3 + (4 * -2 + -3x * -2) -1 + 7x = 3 + (-8 + 6x) Combine like terms: 3 + -8 = -5 -1 + 7x = -5 + 6x Solving -1 + 7x = -5 + 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. -1 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x -1 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 1x = -5 + 0 -1 + 1x = -5 Add '1' to each side of the equation. -1 + 1 + 1x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -5 + 1 1x = -5 + 1 Combine like terms: -5 + 1 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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