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Simplifying 6(x + -5) = 7[x + -1(3 + -1x)] Reorder the terms: 6(-5 + x) = 7[x + -1(3 + -1x)] (-5 * 6 + x * 6) = 7[x + -1(3 + -1x)] (-30 + 6x) = 7[x + -1(3 + -1x)] -30 + 6x = 7[x + (3 * -1 + -1x * -1)] -30 + 6x = 7[x + (-3 + 1x)] Reorder the terms: -30 + 6x = 7[-3 + x + 1x] Combine like terms: x + 1x = 2x -30 + 6x = 7[-3 + 2x] -30 + 6x = [-3 * 7 + 2x * 7] -30 + 6x = [-21 + 14x] Solving -30 + 6x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -30 + 6x + -14x = -21 + 14x + -14x Combine like terms: 6x + -14x = -8x -30 + -8x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + -8x = -21 + 0 -30 + -8x = -21 Add '30' to each side of the equation. -30 + 30 + -8x = -21 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = -21 + 30 -8x = -21 + 30 Combine like terms: -21 + 30 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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