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Simplifying 2(2x + -8) + -3 = 2(x + -4) + -7 Reorder the terms: 2(-8 + 2x) + -3 = 2(x + -4) + -7 (-8 * 2 + 2x * 2) + -3 = 2(x + -4) + -7 (-16 + 4x) + -3 = 2(x + -4) + -7 Reorder the terms: -16 + -3 + 4x = 2(x + -4) + -7 Combine like terms: -16 + -3 = -19 -19 + 4x = 2(x + -4) + -7 Reorder the terms: -19 + 4x = 2(-4 + x) + -7 -19 + 4x = (-4 * 2 + x * 2) + -7 -19 + 4x = (-8 + 2x) + -7 Reorder the terms: -19 + 4x = -8 + -7 + 2x Combine like terms: -8 + -7 = -15 -19 + 4x = -15 + 2x Solving -19 + 4x = -15 + 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. -19 + 4x + -2x = -15 + 2x + -2x Combine like terms: 4x + -2x = 2x -19 + 2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 2x = -15 + 0 -19 + 2x = -15 Add '19' to each side of the equation. -19 + 19 + 2x = -15 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -15 + 19 2x = -15 + 19 Combine like terms: -15 + 19 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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