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Simplifying 5[2(3x + -1) + -6(x + 2)] = 3x + -7 Reorder the terms: 5[2(-1 + 3x) + -6(x + 2)] = 3x + -7 5[(-1 * 2 + 3x * 2) + -6(x + 2)] = 3x + -7 5[(-2 + 6x) + -6(x + 2)] = 3x + -7 Reorder the terms: 5[-2 + 6x + -6(2 + x)] = 3x + -7 5[-2 + 6x + (2 * -6 + x * -6)] = 3x + -7 5[-2 + 6x + (-12 + -6x)] = 3x + -7 Reorder the terms: 5[-2 + -12 + 6x + -6x] = 3x + -7 Combine like terms: -2 + -12 = -14 5[-14 + 6x + -6x] = 3x + -7 Combine like terms: 6x + -6x = 0 5[-14 + 0] = 3x + -7 5[-14] = 3x + -7 Multiply 5 * -14 -70 = 3x + -7 Reorder the terms: -70 = -7 + 3x Solving -70 = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -70 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -70 + -3x = -7 + 0 -70 + -3x = -7 Add '70' to each side of the equation. -70 + 70 + -3x = -7 + 70 Combine like terms: -70 + 70 = 0 0 + -3x = -7 + 70 -3x = -7 + 70 Combine like terms: -7 + 70 = 63 -3x = 63 Divide each side by '-3'. x = -21 Simplifying x = -21
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