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Simplifying 19(x + -2) = 16(x + 1) + -18 Reorder the terms: 19(-2 + x) = 16(x + 1) + -18 (-2 * 19 + x * 19) = 16(x + 1) + -18 (-38 + 19x) = 16(x + 1) + -18 Reorder the terms: -38 + 19x = 16(1 + x) + -18 -38 + 19x = (1 * 16 + x * 16) + -18 -38 + 19x = (16 + 16x) + -18 Reorder the terms: -38 + 19x = 16 + -18 + 16x Combine like terms: 16 + -18 = -2 -38 + 19x = -2 + 16x Solving -38 + 19x = -2 + 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. -38 + 19x + -16x = -2 + 16x + -16x Combine like terms: 19x + -16x = 3x -38 + 3x = -2 + 16x + -16x Combine like terms: 16x + -16x = 0 -38 + 3x = -2 + 0 -38 + 3x = -2 Add '38' to each side of the equation. -38 + 38 + 3x = -2 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = -2 + 38 3x = -2 + 38 Combine like terms: -2 + 38 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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