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Simplifying 6(x + -4) + 3 = 2x + -7 Reorder the terms: 6(-4 + x) + 3 = 2x + -7 (-4 * 6 + x * 6) + 3 = 2x + -7 (-24 + 6x) + 3 = 2x + -7 Reorder the terms: -24 + 3 + 6x = 2x + -7 Combine like terms: -24 + 3 = -21 -21 + 6x = 2x + -7 Reorder the terms: -21 + 6x = -7 + 2x Solving -21 + 6x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 6x + -2x = -7 + 2x + -2x Combine like terms: 6x + -2x = 4x -21 + 4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 4x = -7 + 0 -21 + 4x = -7 Add '21' to each side of the equation. -21 + 21 + 4x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -7 + 21 4x = -7 + 21 Combine like terms: -7 + 21 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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