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Simplifying 6(x + -4) + 4 = 6x + -4(4 + -1x) Reorder the terms: 6(-4 + x) + 4 = 6x + -4(4 + -1x) (-4 * 6 + x * 6) + 4 = 6x + -4(4 + -1x) (-24 + 6x) + 4 = 6x + -4(4 + -1x) Reorder the terms: -24 + 4 + 6x = 6x + -4(4 + -1x) Combine like terms: -24 + 4 = -20 -20 + 6x = 6x + -4(4 + -1x) -20 + 6x = 6x + (4 * -4 + -1x * -4) -20 + 6x = 6x + (-16 + 4x) Reorder the terms: -20 + 6x = -16 + 6x + 4x Combine like terms: 6x + 4x = 10x -20 + 6x = -16 + 10x Solving -20 + 6x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -20 + 6x + -10x = -16 + 10x + -10x Combine like terms: 6x + -10x = -4x -20 + -4x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -4x = -16 + 0 -20 + -4x = -16 Add '20' to each side of the equation. -20 + 20 + -4x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -16 + 20 -4x = -16 + 20 Combine like terms: -16 + 20 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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