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Simplifying 5(x + 1) + -3x = 12x + 4 Reorder the terms: 5(1 + x) + -3x = 12x + 4 (1 * 5 + x * 5) + -3x = 12x + 4 (5 + 5x) + -3x = 12x + 4 Combine like terms: 5x + -3x = 2x 5 + 2x = 12x + 4 Reorder the terms: 5 + 2x = 4 + 12x Solving 5 + 2x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 2x + -12x = 4 + 12x + -12x Combine like terms: 2x + -12x = -10x 5 + -10x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -10x = 4 + 0 5 + -10x = 4 Add '-5' to each side of the equation. 5 + -5 + -10x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 4 + -5 -10x = 4 + -5 Combine like terms: 4 + -5 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1
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