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Simplifying 4(x + -3) + -6 = -2(-9x + 7) + -4x Reorder the terms: 4(-3 + x) + -6 = -2(-9x + 7) + -4x (-3 * 4 + x * 4) + -6 = -2(-9x + 7) + -4x (-12 + 4x) + -6 = -2(-9x + 7) + -4x Reorder the terms: -12 + -6 + 4x = -2(-9x + 7) + -4x Combine like terms: -12 + -6 = -18 -18 + 4x = -2(-9x + 7) + -4x Reorder the terms: -18 + 4x = -2(7 + -9x) + -4x -18 + 4x = (7 * -2 + -9x * -2) + -4x -18 + 4x = (-14 + 18x) + -4x Combine like terms: 18x + -4x = 14x -18 + 4x = -14 + 14x Solving -18 + 4x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 4x + -14x = -14 + 14x + -14x Combine like terms: 4x + -14x = -10x -18 + -10x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + -10x = -14 + 0 -18 + -10x = -14 Add '18' to each side of the equation. -18 + 18 + -10x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = -14 + 18 -10x = -14 + 18 Combine like terms: -14 + 18 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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