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Simplifying 6x + 7(-4x + -3) = -37 + -6x Reorder the terms: 6x + 7(-3 + -4x) = -37 + -6x 6x + (-3 * 7 + -4x * 7) = -37 + -6x 6x + (-21 + -28x) = -37 + -6x Reorder the terms: -21 + 6x + -28x = -37 + -6x Combine like terms: 6x + -28x = -22x -21 + -22x = -37 + -6x Solving -21 + -22x = -37 + -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. -21 + -22x + 6x = -37 + -6x + 6x Combine like terms: -22x + 6x = -16x -21 + -16x = -37 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + -16x = -37 + 0 -21 + -16x = -37 Add '21' to each side of the equation. -21 + 21 + -16x = -37 + 21 Combine like terms: -21 + 21 = 0 0 + -16x = -37 + 21 -16x = -37 + 21 Combine like terms: -37 + 21 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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