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Simplifying 3[5x + -1(4x + 4) + 5] = 2x + 7 Reorder the terms: 3[5x + -1(4 + 4x) + 5] = 2x + 7 3[5x + (4 * -1 + 4x * -1) + 5] = 2x + 7 3[5x + (-4 + -4x) + 5] = 2x + 7 Reorder the terms: 3[-4 + 5 + 5x + -4x] = 2x + 7 Combine like terms: -4 + 5 = 1 3[1 + 5x + -4x] = 2x + 7 Combine like terms: 5x + -4x = 1x 3[1 + 1x] = 2x + 7 [1 * 3 + 1x * 3] = 2x + 7 [3 + 3x] = 2x + 7 Reorder the terms: 3 + 3x = 7 + 2x Solving 3 + 3x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 7 + 0 3 + 1x = 7 Add '-3' to each side of the equation. 3 + -3 + 1x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 7 + -3 1x = 7 + -3 Combine like terms: 7 + -3 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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