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Simplifying 4(3x + 3) + 3(3x + 1) = 4x + -53 Reorder the terms: 4(3 + 3x) + 3(3x + 1) = 4x + -53 (3 * 4 + 3x * 4) + 3(3x + 1) = 4x + -53 (12 + 12x) + 3(3x + 1) = 4x + -53 Reorder the terms: 12 + 12x + 3(1 + 3x) = 4x + -53 12 + 12x + (1 * 3 + 3x * 3) = 4x + -53 12 + 12x + (3 + 9x) = 4x + -53 Reorder the terms: 12 + 3 + 12x + 9x = 4x + -53 Combine like terms: 12 + 3 = 15 15 + 12x + 9x = 4x + -53 Combine like terms: 12x + 9x = 21x 15 + 21x = 4x + -53 Reorder the terms: 15 + 21x = -53 + 4x Solving 15 + 21x = -53 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 21x + -4x = -53 + 4x + -4x Combine like terms: 21x + -4x = 17x 15 + 17x = -53 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 17x = -53 + 0 15 + 17x = -53 Add '-15' to each side of the equation. 15 + -15 + 17x = -53 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = -53 + -15 17x = -53 + -15 Combine like terms: -53 + -15 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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