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Simplifying -6(-3x + 7) + -4x = 6(x + -4) + -6 Reorder the terms: -6(7 + -3x) + -4x = 6(x + -4) + -6 (7 * -6 + -3x * -6) + -4x = 6(x + -4) + -6 (-42 + 18x) + -4x = 6(x + -4) + -6 Combine like terms: 18x + -4x = 14x -42 + 14x = 6(x + -4) + -6 Reorder the terms: -42 + 14x = 6(-4 + x) + -6 -42 + 14x = (-4 * 6 + x * 6) + -6 -42 + 14x = (-24 + 6x) + -6 Reorder the terms: -42 + 14x = -24 + -6 + 6x Combine like terms: -24 + -6 = -30 -42 + 14x = -30 + 6x Solving -42 + 14x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 14x + -6x = -30 + 6x + -6x Combine like terms: 14x + -6x = 8x -42 + 8x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 8x = -30 + 0 -42 + 8x = -30 Add '42' to each side of the equation. -42 + 42 + 8x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = -30 + 42 8x = -30 + 42 Combine like terms: -30 + 42 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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