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Simplifying 4(-4x + -3) = 170 + 6(-6x + -7) Reorder the terms: 4(-3 + -4x) = 170 + 6(-6x + -7) (-3 * 4 + -4x * 4) = 170 + 6(-6x + -7) (-12 + -16x) = 170 + 6(-6x + -7) Reorder the terms: -12 + -16x = 170 + 6(-7 + -6x) -12 + -16x = 170 + (-7 * 6 + -6x * 6) -12 + -16x = 170 + (-42 + -36x) Combine like terms: 170 + -42 = 128 -12 + -16x = 128 + -36x Solving -12 + -16x = 128 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -12 + -16x + 36x = 128 + -36x + 36x Combine like terms: -16x + 36x = 20x -12 + 20x = 128 + -36x + 36x Combine like terms: -36x + 36x = 0 -12 + 20x = 128 + 0 -12 + 20x = 128 Add '12' to each side of the equation. -12 + 12 + 20x = 128 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 128 + 12 20x = 128 + 12 Combine like terms: 128 + 12 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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