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Simplifying 10(-9x + -10) + -4(-6x + 4) = 3(-4x + -2) Reorder the terms: 10(-10 + -9x) + -4(-6x + 4) = 3(-4x + -2) (-10 * 10 + -9x * 10) + -4(-6x + 4) = 3(-4x + -2) (-100 + -90x) + -4(-6x + 4) = 3(-4x + -2) Reorder the terms: -100 + -90x + -4(4 + -6x) = 3(-4x + -2) -100 + -90x + (4 * -4 + -6x * -4) = 3(-4x + -2) -100 + -90x + (-16 + 24x) = 3(-4x + -2) Reorder the terms: -100 + -16 + -90x + 24x = 3(-4x + -2) Combine like terms: -100 + -16 = -116 -116 + -90x + 24x = 3(-4x + -2) Combine like terms: -90x + 24x = -66x -116 + -66x = 3(-4x + -2) Reorder the terms: -116 + -66x = 3(-2 + -4x) -116 + -66x = (-2 * 3 + -4x * 3) -116 + -66x = (-6 + -12x) Solving -116 + -66x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -116 + -66x + 12x = -6 + -12x + 12x Combine like terms: -66x + 12x = -54x -116 + -54x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -116 + -54x = -6 + 0 -116 + -54x = -6 Add '116' to each side of the equation. -116 + 116 + -54x = -6 + 116 Combine like terms: -116 + 116 = 0 0 + -54x = -6 + 116 -54x = -6 + 116 Combine like terms: -6 + 116 = 110 -54x = 110 Divide each side by '-54'. x = -2.037037037 Simplifying x = -2.037037037
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