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Simplifying 3(2x + -6) + 4 = 7(x + -3) Reorder the terms: 3(-6 + 2x) + 4 = 7(x + -3) (-6 * 3 + 2x * 3) + 4 = 7(x + -3) (-18 + 6x) + 4 = 7(x + -3) Reorder the terms: -18 + 4 + 6x = 7(x + -3) Combine like terms: -18 + 4 = -14 -14 + 6x = 7(x + -3) Reorder the terms: -14 + 6x = 7(-3 + x) -14 + 6x = (-3 * 7 + x * 7) -14 + 6x = (-21 + 7x) Solving -14 + 6x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 6x + -7x = -21 + 7x + -7x Combine like terms: 6x + -7x = -1x -14 + -1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -1x = -21 + 0 -14 + -1x = -21 Add '14' to each side of the equation. -14 + 14 + -1x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -21 + 14 -1x = -21 + 14 Combine like terms: -21 + 14 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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