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Simplifying -53 = -2(3x + 1) + -5(6x + 3) Reorder the terms: -53 = -2(1 + 3x) + -5(6x + 3) -53 = (1 * -2 + 3x * -2) + -5(6x + 3) -53 = (-2 + -6x) + -5(6x + 3) Reorder the terms: -53 = -2 + -6x + -5(3 + 6x) -53 = -2 + -6x + (3 * -5 + 6x * -5) -53 = -2 + -6x + (-15 + -30x) Reorder the terms: -53 = -2 + -15 + -6x + -30x Combine like terms: -2 + -15 = -17 -53 = -17 + -6x + -30x Combine like terms: -6x + -30x = -36x -53 = -17 + -36x Solving -53 = -17 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -53 + 36x = -17 + -36x + 36x Combine like terms: -36x + 36x = 0 -53 + 36x = -17 + 0 -53 + 36x = -17 Add '53' to each side of the equation. -53 + 53 + 36x = -17 + 53 Combine like terms: -53 + 53 = 0 0 + 36x = -17 + 53 36x = -17 + 53 Combine like terms: -17 + 53 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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