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Simplifying 1 + -4(3x + 5) = 6x + -10 Reorder the terms: 1 + -4(5 + 3x) = 6x + -10 1 + (5 * -4 + 3x * -4) = 6x + -10 1 + (-20 + -12x) = 6x + -10 Combine like terms: 1 + -20 = -19 -19 + -12x = 6x + -10 Reorder the terms: -19 + -12x = -10 + 6x Solving -19 + -12x = -10 + 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. -19 + -12x + -6x = -10 + 6x + -6x Combine like terms: -12x + -6x = -18x -19 + -18x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + -18x = -10 + 0 -19 + -18x = -10 Add '19' to each side of the equation. -19 + 19 + -18x = -10 + 19 Combine like terms: -19 + 19 = 0 0 + -18x = -10 + 19 -18x = -10 + 19 Combine like terms: -10 + 19 = 9 -18x = 9 Divide each side by '-18'. x = -0.5 Simplifying x = -0.5
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