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Simplifying 7x + -6 = 4(2x + -3) Reorder the terms: -6 + 7x = 4(2x + -3) Reorder the terms: -6 + 7x = 4(-3 + 2x) -6 + 7x = (-3 * 4 + 2x * 4) -6 + 7x = (-12 + 8x) Solving -6 + 7x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 7x + -8x = -12 + 8x + -8x Combine like terms: 7x + -8x = -1x -6 + -1x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -1x = -12 + 0 -6 + -1x = -12 Add '6' to each side of the equation. -6 + 6 + -1x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -12 + 6 -1x = -12 + 6 Combine like terms: -12 + 6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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