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Simplifying 6(x + -5) + -3x = -7 + -1x Reorder the terms: 6(-5 + x) + -3x = -7 + -1x (-5 * 6 + x * 6) + -3x = -7 + -1x (-30 + 6x) + -3x = -7 + -1x Combine like terms: 6x + -3x = 3x -30 + 3x = -7 + -1x Solving -30 + 3x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + 3x + x = -7 + -1x + x Combine like terms: 3x + x = 4x -30 + 4x = -7 + -1x + x Combine like terms: -1x + x = 0 -30 + 4x = -7 + 0 -30 + 4x = -7 Add '30' to each side of the equation. -30 + 30 + 4x = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = -7 + 30 4x = -7 + 30 Combine like terms: -7 + 30 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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