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Simplifying 4x + 11 + -6x + 44 = 12x + -18 + 4x + -53 Reorder the terms: 11 + 44 + 4x + -6x = 12x + -18 + 4x + -53 Combine like terms: 11 + 44 = 55 55 + 4x + -6x = 12x + -18 + 4x + -53 Combine like terms: 4x + -6x = -2x 55 + -2x = 12x + -18 + 4x + -53 Reorder the terms: 55 + -2x = -18 + -53 + 12x + 4x Combine like terms: -18 + -53 = -71 55 + -2x = -71 + 12x + 4x Combine like terms: 12x + 4x = 16x 55 + -2x = -71 + 16x Solving 55 + -2x = -71 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 55 + -2x + -16x = -71 + 16x + -16x Combine like terms: -2x + -16x = -18x 55 + -18x = -71 + 16x + -16x Combine like terms: 16x + -16x = 0 55 + -18x = -71 + 0 55 + -18x = -71 Add '-55' to each side of the equation. 55 + -55 + -18x = -71 + -55 Combine like terms: 55 + -55 = 0 0 + -18x = -71 + -55 -18x = -71 + -55 Combine like terms: -71 + -55 = -126 -18x = -126 Divide each side by '-18'. x = 7 Simplifying x = 7
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