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Simplifying 2(3x + -2) + 5 = 2 + -4(x + 1) Reorder the terms: 2(-2 + 3x) + 5 = 2 + -4(x + 1) (-2 * 2 + 3x * 2) + 5 = 2 + -4(x + 1) (-4 + 6x) + 5 = 2 + -4(x + 1) Reorder the terms: -4 + 5 + 6x = 2 + -4(x + 1) Combine like terms: -4 + 5 = 1 1 + 6x = 2 + -4(x + 1) Reorder the terms: 1 + 6x = 2 + -4(1 + x) 1 + 6x = 2 + (1 * -4 + x * -4) 1 + 6x = 2 + (-4 + -4x) Combine like terms: 2 + -4 = -2 1 + 6x = -2 + -4x Solving 1 + 6x = -2 + -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. 1 + 6x + 4x = -2 + -4x + 4x Combine like terms: 6x + 4x = 10x 1 + 10x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 10x = -2 + 0 1 + 10x = -2 Add '-1' to each side of the equation. 1 + -1 + 10x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = -2 + -1 10x = -2 + -1 Combine like terms: -2 + -1 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3
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