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Simplifying 6(x + -7) + -4x = 4(x + -4) + -2 Reorder the terms: 6(-7 + x) + -4x = 4(x + -4) + -2 (-7 * 6 + x * 6) + -4x = 4(x + -4) + -2 (-42 + 6x) + -4x = 4(x + -4) + -2 Combine like terms: 6x + -4x = 2x -42 + 2x = 4(x + -4) + -2 Reorder the terms: -42 + 2x = 4(-4 + x) + -2 -42 + 2x = (-4 * 4 + x * 4) + -2 -42 + 2x = (-16 + 4x) + -2 Reorder the terms: -42 + 2x = -16 + -2 + 4x Combine like terms: -16 + -2 = -18 -42 + 2x = -18 + 4x Solving -42 + 2x = -18 + 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. -42 + 2x + -4x = -18 + 4x + -4x Combine like terms: 2x + -4x = -2x -42 + -2x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -2x = -18 + 0 -42 + -2x = -18 Add '42' to each side of the equation. -42 + 42 + -2x = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = -18 + 42 -2x = -18 + 42 Combine like terms: -18 + 42 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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