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Simplifying 18 + 4(x + -1) = -5(3x + 1) Reorder the terms: 18 + 4(-1 + x) = -5(3x + 1) 18 + (-1 * 4 + x * 4) = -5(3x + 1) 18 + (-4 + 4x) = -5(3x + 1) Combine like terms: 18 + -4 = 14 14 + 4x = -5(3x + 1) Reorder the terms: 14 + 4x = -5(1 + 3x) 14 + 4x = (1 * -5 + 3x * -5) 14 + 4x = (-5 + -15x) Solving 14 + 4x = -5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 14 + 4x + 15x = -5 + -15x + 15x Combine like terms: 4x + 15x = 19x 14 + 19x = -5 + -15x + 15x Combine like terms: -15x + 15x = 0 14 + 19x = -5 + 0 14 + 19x = -5 Add '-14' to each side of the equation. 14 + -14 + 19x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 19x = -5 + -14 19x = -5 + -14 Combine like terms: -5 + -14 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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