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Simplifying 4x + 5 = 2(3x + -4) + -2 Reorder the terms: 5 + 4x = 2(3x + -4) + -2 Reorder the terms: 5 + 4x = 2(-4 + 3x) + -2 5 + 4x = (-4 * 2 + 3x * 2) + -2 5 + 4x = (-8 + 6x) + -2 Reorder the terms: 5 + 4x = -8 + -2 + 6x Combine like terms: -8 + -2 = -10 5 + 4x = -10 + 6x Solving 5 + 4x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 4x + -6x = -10 + 6x + -6x Combine like terms: 4x + -6x = -2x 5 + -2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -2x = -10 + 0 5 + -2x = -10 Add '-5' to each side of the equation. 5 + -5 + -2x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -10 + -5 -2x = -10 + -5 Combine like terms: -10 + -5 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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