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Simplifying 6(x + -8) = 2(7)(x + -3) Reorder the terms: 6(-8 + x) = 2(7)(x + -3) (-8 * 6 + x * 6) = 2(7)(x + -3) (-48 + 6x) = 2(7)(x + -3) Reorder the terms: -48 + 6x = 2 * 7(-3 + x) Multiply 2 * 7 -48 + 6x = 14(-3 + x) -48 + 6x = (-3 * 14 + x * 14) -48 + 6x = (-42 + 14x) Solving -48 + 6x = -42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -48 + 6x + -14x = -42 + 14x + -14x Combine like terms: 6x + -14x = -8x -48 + -8x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 -48 + -8x = -42 + 0 -48 + -8x = -42 Add '48' to each side of the equation. -48 + 48 + -8x = -42 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -42 + 48 -8x = -42 + 48 Combine like terms: -42 + 48 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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