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Simplifying 1 + -10x = -3 + -4(3x + 5) Reorder the terms: 1 + -10x = -3 + -4(5 + 3x) 1 + -10x = -3 + (5 * -4 + 3x * -4) 1 + -10x = -3 + (-20 + -12x) Combine like terms: -3 + -20 = -23 1 + -10x = -23 + -12x Solving 1 + -10x = -23 + -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. 1 + -10x + 12x = -23 + -12x + 12x Combine like terms: -10x + 12x = 2x 1 + 2x = -23 + -12x + 12x Combine like terms: -12x + 12x = 0 1 + 2x = -23 + 0 1 + 2x = -23 Add '-1' to each side of the equation. 1 + -1 + 2x = -23 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -23 + -1 2x = -23 + -1 Combine like terms: -23 + -1 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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