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Simplifying -6(3x + -7) = -2 + -4(4x + -7) Reorder the terms: -6(-7 + 3x) = -2 + -4(4x + -7) (-7 * -6 + 3x * -6) = -2 + -4(4x + -7) (42 + -18x) = -2 + -4(4x + -7) Reorder the terms: 42 + -18x = -2 + -4(-7 + 4x) 42 + -18x = -2 + (-7 * -4 + 4x * -4) 42 + -18x = -2 + (28 + -16x) Combine like terms: -2 + 28 = 26 42 + -18x = 26 + -16x Solving 42 + -18x = 26 + -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. 42 + -18x + 16x = 26 + -16x + 16x Combine like terms: -18x + 16x = -2x 42 + -2x = 26 + -16x + 16x Combine like terms: -16x + 16x = 0 42 + -2x = 26 + 0 42 + -2x = 26 Add '-42' to each side of the equation. 42 + -42 + -2x = 26 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 26 + -42 -2x = 26 + -42 Combine like terms: 26 + -42 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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