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Simplifying 4x + 7 = 6(x + -2) + -3 Reorder the terms: 7 + 4x = 6(x + -2) + -3 Reorder the terms: 7 + 4x = 6(-2 + x) + -3 7 + 4x = (-2 * 6 + x * 6) + -3 7 + 4x = (-12 + 6x) + -3 Reorder the terms: 7 + 4x = -12 + -3 + 6x Combine like terms: -12 + -3 = -15 7 + 4x = -15 + 6x Solving 7 + 4x = -15 + 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. 7 + 4x + -6x = -15 + 6x + -6x Combine like terms: 4x + -6x = -2x 7 + -2x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -2x = -15 + 0 7 + -2x = -15 Add '-7' to each side of the equation. 7 + -7 + -2x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -15 + -7 -2x = -15 + -7 Combine like terms: -15 + -7 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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