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Simplifying 6(x + -2) + -9 = -3(-6x + 9) + -2x Reorder the terms: 6(-2 + x) + -9 = -3(-6x + 9) + -2x (-2 * 6 + x * 6) + -9 = -3(-6x + 9) + -2x (-12 + 6x) + -9 = -3(-6x + 9) + -2x Reorder the terms: -12 + -9 + 6x = -3(-6x + 9) + -2x Combine like terms: -12 + -9 = -21 -21 + 6x = -3(-6x + 9) + -2x Reorder the terms: -21 + 6x = -3(9 + -6x) + -2x -21 + 6x = (9 * -3 + -6x * -3) + -2x -21 + 6x = (-27 + 18x) + -2x Combine like terms: 18x + -2x = 16x -21 + 6x = -27 + 16x Solving -21 + 6x = -27 + 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. -21 + 6x + -16x = -27 + 16x + -16x Combine like terms: 6x + -16x = -10x -21 + -10x = -27 + 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -10x = -27 + 0 -21 + -10x = -27 Add '21' to each side of the equation. -21 + 21 + -10x = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = -27 + 21 -10x = -27 + 21 Combine like terms: -27 + 21 = -6 -10x = -6 Divide each side by '-10'. x = 0.6 Simplifying x = 0.6
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