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Simplifying 2(1 + -3x) + 4x + 3 = 5(5 + -2x) + 4 (1 * 2 + -3x * 2) + 4x + 3 = 5(5 + -2x) + 4 (2 + -6x) + 4x + 3 = 5(5 + -2x) + 4 Reorder the terms: 2 + 3 + -6x + 4x = 5(5 + -2x) + 4 Combine like terms: 2 + 3 = 5 5 + -6x + 4x = 5(5 + -2x) + 4 Combine like terms: -6x + 4x = -2x 5 + -2x = 5(5 + -2x) + 4 5 + -2x = (5 * 5 + -2x * 5) + 4 5 + -2x = (25 + -10x) + 4 Reorder the terms: 5 + -2x = 25 + 4 + -10x Combine like terms: 25 + 4 = 29 5 + -2x = 29 + -10x Solving 5 + -2x = 29 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 5 + -2x + 10x = 29 + -10x + 10x Combine like terms: -2x + 10x = 8x 5 + 8x = 29 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + 8x = 29 + 0 5 + 8x = 29 Add '-5' to each side of the equation. 5 + -5 + 8x = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 29 + -5 8x = 29 + -5 Combine like terms: 29 + -5 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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