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Simplifying 4x + 2x + -6 = 4(x + -3) + 7 Reorder the terms: -6 + 4x + 2x = 4(x + -3) + 7 Combine like terms: 4x + 2x = 6x -6 + 6x = 4(x + -3) + 7 Reorder the terms: -6 + 6x = 4(-3 + x) + 7 -6 + 6x = (-3 * 4 + x * 4) + 7 -6 + 6x = (-12 + 4x) + 7 Reorder the terms: -6 + 6x = -12 + 7 + 4x Combine like terms: -12 + 7 = -5 -6 + 6x = -5 + 4x Solving -6 + 6x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = -5 + 0 -6 + 2x = -5 Add '6' to each side of the equation. -6 + 6 + 2x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -5 + 6 2x = -5 + 6 Combine like terms: -5 + 6 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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