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Simplifying 4(x + -2) + 7 = 6x + -4 Reorder the terms: 4(-2 + x) + 7 = 6x + -4 (-2 * 4 + x * 4) + 7 = 6x + -4 (-8 + 4x) + 7 = 6x + -4 Reorder the terms: -8 + 7 + 4x = 6x + -4 Combine like terms: -8 + 7 = -1 -1 + 4x = 6x + -4 Reorder the terms: -1 + 4x = -4 + 6x Solving -1 + 4x = -4 + 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. -1 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x -1 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -2x = -4 + 0 -1 + -2x = -4 Add '1' to each side of the equation. -1 + 1 + -2x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -4 + 1 -2x = -4 + 1 Combine like terms: -4 + 1 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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