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Simplifying 6x + -6 + 2x = 4(4x + -3) + 2 Reorder the terms: -6 + 6x + 2x = 4(4x + -3) + 2 Combine like terms: 6x + 2x = 8x -6 + 8x = 4(4x + -3) + 2 Reorder the terms: -6 + 8x = 4(-3 + 4x) + 2 -6 + 8x = (-3 * 4 + 4x * 4) + 2 -6 + 8x = (-12 + 16x) + 2 Reorder the terms: -6 + 8x = -12 + 2 + 16x Combine like terms: -12 + 2 = -10 -6 + 8x = -10 + 16x Solving -6 + 8x = -10 + 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. -6 + 8x + -16x = -10 + 16x + -16x Combine like terms: 8x + -16x = -8x -6 + -8x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + -8x = -10 + 0 -6 + -8x = -10 Add '6' to each side of the equation. -6 + 6 + -8x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -10 + 6 -8x = -10 + 6 Combine like terms: -10 + 6 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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