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Simplifying 4x + -3(x + -2) = 8x + 2(3x + -4) Reorder the terms: 4x + -3(-2 + x) = 8x + 2(3x + -4) 4x + (-2 * -3 + x * -3) = 8x + 2(3x + -4) 4x + (6 + -3x) = 8x + 2(3x + -4) Reorder the terms: 6 + 4x + -3x = 8x + 2(3x + -4) Combine like terms: 4x + -3x = 1x 6 + 1x = 8x + 2(3x + -4) Reorder the terms: 6 + 1x = 8x + 2(-4 + 3x) 6 + 1x = 8x + (-4 * 2 + 3x * 2) 6 + 1x = 8x + (-8 + 6x) Reorder the terms: 6 + 1x = -8 + 8x + 6x Combine like terms: 8x + 6x = 14x 6 + 1x = -8 + 14x Solving 6 + 1x = -8 + 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. 6 + 1x + -14x = -8 + 14x + -14x Combine like terms: 1x + -14x = -13x 6 + -13x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -13x = -8 + 0 6 + -13x = -8 Add '-6' to each side of the equation. 6 + -6 + -13x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -8 + -6 -13x = -8 + -6 Combine like terms: -8 + -6 = -14 -13x = -14 Divide each side by '-13'. x = 1.076923077 Simplifying x = 1.076923077
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