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Simplifying 13(10x + 22) = -16(x + -4) Reorder the terms: 13(22 + 10x) = -16(x + -4) (22 * 13 + 10x * 13) = -16(x + -4) (286 + 130x) = -16(x + -4) Reorder the terms: 286 + 130x = -16(-4 + x) 286 + 130x = (-4 * -16 + x * -16) 286 + 130x = (64 + -16x) Solving 286 + 130x = 64 + -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. 286 + 130x + 16x = 64 + -16x + 16x Combine like terms: 130x + 16x = 146x 286 + 146x = 64 + -16x + 16x Combine like terms: -16x + 16x = 0 286 + 146x = 64 + 0 286 + 146x = 64 Add '-286' to each side of the equation. 286 + -286 + 146x = 64 + -286 Combine like terms: 286 + -286 = 0 0 + 146x = 64 + -286 146x = 64 + -286 Combine like terms: 64 + -286 = -222 146x = -222 Divide each side by '146'. x = -1.520547945 Simplifying x = -1.520547945
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