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Simplifying 7[x + -3(x + -3)] = 4x + -2 Reorder the terms: 7[x + -3(-3 + x)] = 4x + -2 7[x + (-3 * -3 + x * -3)] = 4x + -2 7[x + (9 + -3x)] = 4x + -2 Reorder the terms: 7[9 + x + -3x] = 4x + -2 Combine like terms: x + -3x = -2x 7[9 + -2x] = 4x + -2 [9 * 7 + -2x * 7] = 4x + -2 [63 + -14x] = 4x + -2 Reorder the terms: 63 + -14x = -2 + 4x Solving 63 + -14x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 63 + -14x + -4x = -2 + 4x + -4x Combine like terms: -14x + -4x = -18x 63 + -18x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 63 + -18x = -2 + 0 63 + -18x = -2 Add '-63' to each side of the equation. 63 + -63 + -18x = -2 + -63 Combine like terms: 63 + -63 = 0 0 + -18x = -2 + -63 -18x = -2 + -63 Combine like terms: -2 + -63 = -65 -18x = -65 Divide each side by '-18'. x = 3.611111111 Simplifying x = 3.611111111
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