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Simplifying 10(x + 147) = -2(5 + -1x) Reorder the terms: 10(147 + x) = -2(5 + -1x) (147 * 10 + x * 10) = -2(5 + -1x) (1470 + 10x) = -2(5 + -1x) 1470 + 10x = (5 * -2 + -1x * -2) 1470 + 10x = (-10 + 2x) Solving 1470 + 10x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1470 + 10x + -2x = -10 + 2x + -2x Combine like terms: 10x + -2x = 8x 1470 + 8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 1470 + 8x = -10 + 0 1470 + 8x = -10 Add '-1470' to each side of the equation. 1470 + -1470 + 8x = -10 + -1470 Combine like terms: 1470 + -1470 = 0 0 + 8x = -10 + -1470 8x = -10 + -1470 Combine like terms: -10 + -1470 = -1480 8x = -1480 Divide each side by '8'. x = -185 Simplifying x = -185
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