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Simplifying 1x + -10(x + 3) = 7x + -2 Reorder the terms: 1x + -10(3 + x) = 7x + -2 1x + (3 * -10 + x * -10) = 7x + -2 1x + (-30 + -10x) = 7x + -2 Reorder the terms: -30 + 1x + -10x = 7x + -2 Combine like terms: 1x + -10x = -9x -30 + -9x = 7x + -2 Reorder the terms: -30 + -9x = -2 + 7x Solving -30 + -9x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + -9x + -7x = -2 + 7x + -7x Combine like terms: -9x + -7x = -16x -30 + -16x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -16x = -2 + 0 -30 + -16x = -2 Add '30' to each side of the equation. -30 + 30 + -16x = -2 + 30 Combine like terms: -30 + 30 = 0 0 + -16x = -2 + 30 -16x = -2 + 30 Combine like terms: -2 + 30 = 28 -16x = 28 Divide each side by '-16'. x = -1.75 Simplifying x = -1.75
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