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Simplifying 6(x + -2) + -2 = -4(-6x + 8) + -3x Reorder the terms: 6(-2 + x) + -2 = -4(-6x + 8) + -3x (-2 * 6 + x * 6) + -2 = -4(-6x + 8) + -3x (-12 + 6x) + -2 = -4(-6x + 8) + -3x Reorder the terms: -12 + -2 + 6x = -4(-6x + 8) + -3x Combine like terms: -12 + -2 = -14 -14 + 6x = -4(-6x + 8) + -3x Reorder the terms: -14 + 6x = -4(8 + -6x) + -3x -14 + 6x = (8 * -4 + -6x * -4) + -3x -14 + 6x = (-32 + 24x) + -3x Combine like terms: 24x + -3x = 21x -14 + 6x = -32 + 21x Solving -14 + 6x = -32 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -14 + 6x + -21x = -32 + 21x + -21x Combine like terms: 6x + -21x = -15x -14 + -15x = -32 + 21x + -21x Combine like terms: 21x + -21x = 0 -14 + -15x = -32 + 0 -14 + -15x = -32 Add '14' to each side of the equation. -14 + 14 + -15x = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = -32 + 14 -15x = -32 + 14 Combine like terms: -32 + 14 = -18 -15x = -18 Divide each side by '-15'. x = 1.2 Simplifying x = 1.2
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