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Simplifying 2(3x + 3) + 8x = 2(7x + -2) + 2x + 4 Reorder the terms: 2(3 + 3x) + 8x = 2(7x + -2) + 2x + 4 (3 * 2 + 3x * 2) + 8x = 2(7x + -2) + 2x + 4 (6 + 6x) + 8x = 2(7x + -2) + 2x + 4 Combine like terms: 6x + 8x = 14x 6 + 14x = 2(7x + -2) + 2x + 4 Reorder the terms: 6 + 14x = 2(-2 + 7x) + 2x + 4 6 + 14x = (-2 * 2 + 7x * 2) + 2x + 4 6 + 14x = (-4 + 14x) + 2x + 4 Reorder the terms: 6 + 14x = -4 + 4 + 14x + 2x Combine like terms: -4 + 4 = 0 6 + 14x = 0 + 14x + 2x 6 + 14x = 14x + 2x Combine like terms: 14x + 2x = 16x 6 + 14x = 16x Solving 6 + 14x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 14x + -16x = 16x + -16x Combine like terms: 14x + -16x = -2x 6 + -2x = 16x + -16x Combine like terms: 16x + -16x = 0 6 + -2x = 0 Add '-6' to each side of the equation. 6 + -6 + -2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 0 + -6 -2x = 0 + -6 Combine like terms: 0 + -6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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