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Simplifying 4x + -36 = 2(3x + -4) + -10 Reorder the terms: -36 + 4x = 2(3x + -4) + -10 Reorder the terms: -36 + 4x = 2(-4 + 3x) + -10 -36 + 4x = (-4 * 2 + 3x * 2) + -10 -36 + 4x = (-8 + 6x) + -10 Reorder the terms: -36 + 4x = -8 + -10 + 6x Combine like terms: -8 + -10 = -18 -36 + 4x = -18 + 6x Solving -36 + 4x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 4x + -6x = -18 + 6x + -6x Combine like terms: 4x + -6x = -2x -36 + -2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + -2x = -18 + 0 -36 + -2x = -18 Add '36' to each side of the equation. -36 + 36 + -2x = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -18 + 36 -2x = -18 + 36 Combine like terms: -18 + 36 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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